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stokes_theorem.html
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<!DOCTYPE html>
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<h1>Green's Theorem, Stokes' Theorem, and the Divergence Theorem</h1>
<p>The fundamental theorem of calculus is a fan favorite, as it reduces a definite integral, <span class="math">$\int_a^b f(x) dx$</span>, into the evaluation of a <em>related</em> function at two points: <span class="math">$F(b)-F(a)$</span>, where the relation is <span class="math">$F$</span> is an <em>antiderivative</em> of <span class="math">$f$</span>. It is a favorite as it makes life much easier than the alternative of computing a limit of a Riemann sum.</p>
<p>This relationship can be generalized. The key is to realize that the interval <span class="math">$[a,b]$</span> has boundary <span class="math">$\{a, b\}$</span> (a set) and then expressing the theorem as: the integral around some region of <span class="math">$f$</span> is the integral, suitably defined, around the <em>boundary</em> of the region for a function <em>related</em> to <span class="math">$f$</span>.</p>
<p>In an abstract setting, Stokes' theorem says exactly this with the relationship being the <em>exterior</em> derivative. Here we are not as abstract, we discuss below:</p>
<ul>
<li><p>Green's theorem, a <span class="math">$2$</span>-dimensional theorem, where the region is a planar region, <span class="math">$D$</span>, and the boundary a simple curve <span class="math">$C$</span>;</p>
</li>
<li><p>Stokes' theorem in <span class="math">$3$</span> dimensions, where the region is an open surface, <span class="math">$S$</span>, in <span class="math">$R^3$</span> with boundary, <span class="math">$C$</span>;</p>
</li>
<li><p>The Divergence theorem in <span class="math">$3$</span> dimensions, where the region is a volume in three dimensions and the boundary its <span class="math">$2$</span>-dimensional closed surface.</p>
</li>
</ul>
<p>The related functions will involve the divergence and the curl, previously discussed.</p>
<p>Many of the the examples in this section come from either <a href="https://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005/">Strang</a> or <a href="https://www.amazon.com/Div-Grad-Curl-All-That/dp/0393925161/">Schey</a>.</p>
<p>Before beginning, we load our usual package.</p>
<pre class='hljl'>
<span class='hljl-k'>using</span><span class='hljl-t'> </span><span class='hljl-n'>CalculusWithJulia</span>
</pre>
<p>To make the abstract concrete, consider the one dimensional case of finding the definite integral <span class="math">$\int_a^b F'(x) dx$</span>. The Riemann sum picture at the <em>microscopic</em> level considers a figure like:</p>
<img src="data:image/png;base64,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" />
<p>The total area under the blue curve from <span class="math">$a$</span> to <span class="math">$b$</span>, is found by adding the area of each segment of the figure.</p>
<p>Let's consider now what an integral over the boundary would mean. The region, or interval, <span class="math">$[x_{i-1}, x_i]$</span> has a boundary that clearly consists of the two points <span class="math">$x_{i-1}$</span> and <span class="math">$x_i$</span>. If we <em>orient</em> the boundary, as we need to for higher dimensional boundaries, using the outward facing direction, then the oriented boundary at the right-hand end point, <span class="math">$x_i$</span>, would point towards <span class="math">$+\infty$</span> and the left-hand end point, <span class="math">$x_{i-1}$</span>, would be oriented to point to <span class="math">$-\infty$</span>. An "integral" on the boundary of <span class="math">$F$</span> would naturally be <span class="math">$F(b) \times 1$</span> plus <span class="math">$F(a) \times -1$</span>, or <span class="math">$F(b)-F(a)$</span>.</p>
<p>With this choice of integral over the boundary, we can see much cancellation arises were we to compute this integral for each piece, as we would have with <span class="math">$a=x_0 < x_1 < \cdots x_{n-1} < x_n=b$</span>:</p>
<p class="math">\[
~
(F(x_1) - F(x_0)) + (F(x_2)-F(x_1)) + \cdots + (F(x_n) - F(x_{n-1})) = F(x_n) - F(x_0) = F(b) - F(a).
~
\]</p>
<p>That is, with this definition for a boundary integral, the interior pieces of the microscopic approximation cancel and the total is just the integral over the oriented macroscopic boundary <span class="math">$\{a, b\}$</span>.</p>
<p>But each microscopic piece can be reimagined, as</p>
<p class="math">\[
~
F(x_{i}) - F(x_{i-1}) = \left(\frac{F(x_{i}) - F(x_{i-1})}{\Delta{x}}\right)\Delta{x}
\approx F'(x_i)\Delta{x}.
~
\]</p>
<p>The approximation could be exact were the mean value theorem used to identify a point in the interval, but we don't pursue that, as the key point is the right hand side is a Riemann sum approximation for a <em>different</em> integral, in this case the integral <span class="math">$\int_a^b F'(x) dx$</span>. Passing from the microscopic view to an infinitesimal view, the picture gives two interpretations, leading to the Fundamental Theorem of Calculus:</p>
<p class="math">\[
~
\int_a^b F'(x) dx = F(b) - F(a).
~
\]</p>
<p>The three theorems of this section, Green's theorem, Stokes' theorem, and the divergence theorem, can all be seen in this manner: the sum of microscopic boundary integrals leads to a macroscopic boundary integral of the entire region; whereas, by reinterpretation, the microscopic boundary integrals are viewed as Riemann sums, which in the limit become integrals of a <em>related</em> function over the region.</p>
<h2>Green's theorem</h2>
<p>To continue the above analysis for a higher dimension, we consider the following figure hinting at a decomposition of a macroscopic square into subsequent microscopic sub-squares. The boundary of each square is oriented so that the right hand rule comes out of the picture.</p>
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAkAAAAGACAIAAADK+EpIAAAABmJLR0QA/wD/AP+gvaeTAAAUmUlEQVR4nO3de5CVhX3/8e9eWEBBuRhFEaKhdQpWURt0WrCxGqeZEJuZZEybOOh4DdEKXhoCbbxBvGCVeKsExWiNg6MkaUw05uI43NQGbwko/YkSRMEfqyIoG3bZ2+kfS3e9kBXN7j7nu7xef8Fz9pzzmVln3zzPOZ6tKJVKAQDZVBY9AAA+DgEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAcuhsTHmzo3a2qJ3AJQNASt3TU1x990xZkyce278+78XvQagbFT4jcxlq6kp7r03Zs6MNWt2HOnXL9asiQMOKHQWQHmoLnoAO/HBdEXEJz4RF18cgwYVNwugnDgDKy+NjXHHHXHRRdHQ0HGwpiY++ckYPjwqXfGFJCor49e/LnpEbydg5aItXVdfHa++WvQUoCv44drd/JO+G115ZVRVRVVVXHbZLn19VVW0tnbzJqCnVFXFlVcWPaJX8xpYN2pt3RGkXclSTU2cc05MmhS33RbTpkVjY8dNffvGgQfGsGFRUdFdU4EutG5dvPpqx08AuomAlZf+/WPq1PjGN+Kuu2LmzNiwISJi+/ZYsybq6uLCC2PKlOjfv+iVQKcuuSS+852iR+wGXEIsR21nY7//fcybF8OH7zhYWxuXXx5vvVXoMoCyIWDl64MZmzy5o2cAuzkBK3dtGXvxxbjhhpg2reg1AGXDa2A5tL02BkA7Z2AApCRgAKQkYACkJGCZrVgRzz5b9Ah6REtL3HdfNDUVvQPKiIDl9PzzceqpcdRR8c//XPQUullrayxcGIceGv/0T3H33UWvgTIiYNm0pWvs2PjBD6KlJR5/PB55pOhNdI+2dI0ZE1/5SrzwQkTErFnv+ZAx2L15G30eK1bEzJnx4x93fMZ1RUV86Utx4IGFzqIbtLTEggXxne/E6tUdB4cMibPO8uF60E7AMlixIr72tVi16j3pGjkyxo6NAQPimmsKHbd7mzo1jjyyKx+wpSVuuy2mT4933uk42LdvjBkTo0fHSy/F5Mld+XTsukGD4oYbih7BewhYeXv++Zg9OxYsiJaW9xwvlWLduli3rqBZ/J8xY7osYK2t8aMfxSWX7Lha+G7bt8ezz3rDTsGqqgSs3HgNrJzcd1+MGBEjRsQ3vxkRUSrF44/HkiXvrxfl46qr4stf/pj3/fKXd3y7n3wyIuKNN+LRR2Pt2i5cR1dqaYkRI+K++4reQQdnYOWkri7Wr4+IHZ85X1ERZ58dp50Wd94ZF14Y9fUdX1lVFUOGxN57R6V/ghSkvj5efTXefjtqaz/mI9TW7vh2b98eEbHffjF3bsyYEf/6r7FgwXt+m2///jF0aOyxx588mo+rtjbefjvWr4+6uqKn0EHAyl5NTXz963HGGXHvvTFzZqxZExHR0hJvvBGlUvzLv8T55/vRVoBly+LYY7v+YUeOjHvuiauvjuuui9tui4aGiIj6+li/Pv7mb2L69DjppK5/Uj7UmWfG979f9Ajez7/fk+jTJ049NVatiu99Lz75yR0H33wzpk+PhQsLXUY3GDEibrwxXnghJk+OmpodBx9/PE499T1v7oDdm4Cl0nY29uKL8Z//GaNGRUSMGhWnnFL0LLrHyJExd2689FJMmRL9+kVETJ0ae+1V9CwoFwKW0LvPxq69NqpdB+7V2s/GpkyJCy4oeg2UET/70mo7G2M3MXJk3Hhj0SOgvDgDAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgpeqiB7AztbWxbFnRI+jUypXl+FB0k9raohewEwJWlh56KB56qOgR9JRzzy16AaTkEiIAKTkDKyfDhsX48UWP4CM6/PCeviMFGjas6AV0ELByMnFiTJxY9Ah6yq23Fr0AcnMJEYCUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBCytjRvjoovilluK3kGPWLIkPve52LCh6B1QRgQsoTfeiOnTY9So+O5344oroq6u6EF0p8cei5NOis98Jn75y5g9u+g1UEYELJW2s66DDorZs2PbtoiIN9+M++8vehbdY/Hi+Lu/iwkT4sEHdxy58854551CN0EZEbAk3n3W1ZauiDj88Lj//jj99EKX0Q2WLYuTTorjjotFi3Yc6dMnJk2KZ56JvfYqchiUE7+Ruext3BizZ8dNN0Vra8fBqqqoqYmXX46zzoqzzipu3G7vllti0qSufMDFi2PatFi+/D0H+/SJvn3jgQfigQe68rn4SAYM8BpkuRGwcvLaa7FqVUTE8OExenRExKWXxnXXRX39+7+ypSXq63dynB62ZEmMHh2f/vTHue9TT8WWLRER48bF3nvHa6/FKad0nHK9W1NTNDX9KTPpAnV18cgjMWZMHHBA0VPYwSXEcvLww3HiiXHiiXHddTuOTJ0a06bF3nsXOos/bv78uOCCj3nfCy7Y8e1euTIi4oAD4oYb4uSTo6KiCwfSZVpb48QT4+GHi95BB2dg5W3o0Lj88jj//Jg8OR58MBoaOm464ID4/OfjiCP8vCvGmjUxZ04XP+bYsXH//bFoUZx/fjz3XMfxysr49Kfjc5+L/fbr4mdkF91zTzzxRNEjeD8By2Do0Fi4MDZtijlz4uabY+vWiIjXXov58+Oww2Lu3Bg/vuiJu59ly7o+YG2OOy5Wrozly+OKK+LnP4+IaG2N5cvj6afjq1+NW2+NgQO75XnpxNNPC1gZcgkxj6FD48orY+3auOyyjouKK1dGTU2hs+geRx8dDz0Uv/1tx0XFlpZ47rkYMKDoZVAuBCybtouKa9bsyNgXvxjjxhW9iW7TdlHx2Wd3ZOzyy10xhnYuIebU/tqYj+HYHbRn7Igjip4CZUTAMhs6NIYOLXoEPeXII4teAOXFJUQAUhKw3qlUKv3X//uvl956qeghH01jS+P8Z+Zvbdxa9BAgAQHrbUql0s9W/2zc7eO+dN+XZi6eWfScXdXU2nT37+4+9NZDz/7Z2Tf/5uai5wAJCFjv0Z6uf7j3H57+/09HxIKVC17Y9ELRuz5EW7rG/MeY035yWtsp45wn5jgJAz6UN3H0BqVS6Scv/OSKRVf8rvZ37QcH1Aw4b9x5++yxT4HDOtfY0njXb++6aulV695e135w3z33nTZ+WnWl/zKBD+HHRG5t6Trzp2durt/cfrC6svqgQQeNGjxq1ZurTn+gyF+2cvsXbt9vwE4+/aixpfG2Z26b9utp9U0dn0fct7rvqCGjDtr7oMXrFi9et7gHZ75H36q+C09eWNSzA7tOwLIqlUoPvvjgFYuuaLta+G7Nrc0vvfVSObyD45W/feV9AWtqbbp35b2zlsz64LztzdtXvb5q1eurenDgTlSE/1MYchCwlDY3bB753ZFNrU3Nrc1Fb+nMcXced/qRp9/y+Vva/vrf6//7sz/4bFNLU2uptfM7FqgUpYFXD7zqhKvOP/r8orcAnRGwlEqlUl1jXUQM7jd41vGzLv7Vxdubt7ff2qeqz7ABw/bZY5/KisLepPPmtjfXbVm3rXlbQ3PHJ+i3lFr+0PiHiDh6+NEnfOqEax+7tqW1pf3WftX99h+4/5D+QwqY+3/Wv7O+tq62rrGusaWxwBnArhCw9M4bd97ZR51912/vmrVk1vp31kdEU0vTq2+/ur15+0V/fdGUY6b0r+7f86vmPzP/7J+d/cdura6svur4q2ZMmHHrk7fOXjZ7c8PmiGhobli7eW1FVHxr/LfOPOrMqoqqHty7w8W/unjOE93zGfNAV/M2+t6gpqrmnL86Z82UNfO+MO/AvQ5sO/j6H16f8ciM515/rvP7FmhgzcBvjf/WugvXXfPZawb3G9x28Pebf3/RLy/atG1TsduA8idgvccHM/bFv/jiuAPK/bPqP5ixKcdM2XfPfYveBZQ7lxB7m7aMnXbEafOfmT9h5ISi5+yqtox9/a++ftNvbjp33LlFzwESELDeqW9V3/PGnVf0io9sUL9Bl37m0qJXADm4hAhASgIGQEoCBkBKAgZASgIGQEoCBkBKAgZASgIGQEoCBkBKAgZASgIGQEoCBkBKAgZASgIGQEoCBkBKAgZASgIGQEoCBkBKAgZASgIGQEoCBkBKAgZASgIGQEoCBkBKAgZASgIGQEoCBkBKAgZASgIGQEoCBkBKAgZASgIGQEoCBkBKAgZASgIGQEoCBkBKAgZASgIGQEoCBkBKAgZASgIGQEoCBkBKAgZASgIGQEoCBkBK1UUP4E+ytXHr+O+PL3rFTtTW1XZy68raleU5++UtLxc9AdhVApZbc2vz468+XvSKj2xr49aMs4Gy4hIiACk5A0tpr757LTtjWSdfsK1p2w9X/XDc8HGj9xndY6t2atiAYe1/Pny/wzuf/Vb9WwtWLvjaYV8b0n9I90/rzMGDDi52APChBCyl6srq8SN2/hpSXWPdHc/ecfXSq2v/UPvK2688fMrDPbytEwNrBv6x2W9se+P6x6+/efnN25q27T9g/zl/P6eHtwHpCFjvsbVx682/uXnOE3M21W9qO/KLl36xfMPyo4cfXeywzm2s2zj7sdnznppX31zfduR7T31v+oTp++65b7HDgDInYL3Bu8+62g8eNOigGRNmHLX/UQUO69y7z7raD47db+y//e2/fWKPTxQ4DEhBwHJrO+u6bNFlza3N7Qf7VPYZusfQmsqa65+4/vonri9w3i8m/eLgvXfyYtLGuo2zls6au3xuKUrtB/tV9xvaf2h9c/23H/32tx/9dg/OfI++VX1XfGNFUc8O7DoBS6lUKq3dsnbe0/Nuf/r2zQ2b33drU2vTxrqNG2NjIdvebdXrqwb1HTS43+C2vza2NK7etPrG39x4z4p7Gpob3vfFDc0NG7Zu6PGN71cRFevfWT+o36ABNQOK3gJ0xtvoU9rcsHnUTaOufezarY1bi97SmS8s+MI3f/XN9r8++dqTh809bP4z86sqqgpc1blSlEZ8d8S8p+cVPQT4EM7AchtYM/CHX/nhpB9Peq3utfaDlRWVfzbkzw7b97A9a/YsatiLm158Yv0Tf+zWscPGTh43ecrPp2xp2NJ+sE9ln9H7jB6z75iaqpoe2bgTT214atWbq4p6duAjEbD0jj/4+A0Xb3h07aOXL7p86StLI6K11Lp60+qXt7x8xpFnXPqZS/cfsH/Pr5r/zPxOAhYRkw6bdMpfnrJw1cJZi2c9/8bzEdHU2rTi9RUvv/3y1GOmThs/rZAreBf/6mIBgyxcQuwljj/4+CWnL1l6+tITDj6h7UhjS+Mdz9xR31Rf7LBOVFZU/uOh/7jiGyt++tWfHjnsyLaD72x/Z+5Tc4sdBqQgYL3KhJETHjn1kfaMnXbEaZ8a/KmiR32IyorKkw456alznmrP2IwJM7yBAvhQLiH2Qm0Ze3Tto6OGjCp6y65qy9jEP5/4o//50cQ/n1j0HCABAeu1jj/4+KInfGSVFZUnjzm56BVADi4hApCSgAGQkoABkJKAAZCSgAGQkoABkJKAAZCSgAGQkoABkJKAAZCSgAGQkoABkJKAAZCSgAGQkoABkJKAAZCSgAGQkoABkJKAAZCSgAGQkoABkJKAAZCSgAGQkoABkJKAAZCSgAGQkoABkJKAAZCSgAGQkoABkJKAAZCSgAGQkoABkJKAAZCSgAGQkoABkJKAAZCSgAGQkoABkJKAAZCSgAGQkoABkJKAAZCSgAGQkoABkFJ10QP4k2xp2DJk9pCiV+zE9pbtndy6fMPy8pxd31xf9ARgVwlYbqUobW7YXPSKj6y5tTnjbKCsuIQIQErOwFIa3G/wpmmbil6xS/pV92v/8zHDj8kye48+exQ9AfgQApZSRUXFkP7l+BpS56orqzPOBsqTS4gApCRgAKQkYACkJGAApCRgAKQkYACkJGAApCRgAKQkYACk5JM4ytKyZXHmmUWPoFO1tV32UNdcE/vt12WPRndYtqzoBeyEgJWl1atj9eqiR9BTHnqo6AWQkkuIAKTkDKycHHtszJ9f9Ag+omHDPuYdZ8yIjRu7dArd79hji15ABwErJ4ccEoccUvQIesrEiUUvgNxcQgQgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICUBAyAlAQMgJQEDICWfhdgTFi+OSy4pegTQUxYvLnrB7kHAesLSpbF0adEjAHoXlxABSKmiVCoVvaHXWro0Fi0qegRQnOOO8xvEupGAAZCSS4gApCRgAKQkYACkJGAApCRgAKQkYACkJGAApCRgAKQkYACkJGAApCRgAKQkYACkJGAApCRgAKQkYACkJGAApCRgAKQkYACkJGAApPS/i3ECn8Df76UAAAAASUVORK5CYII=" />
<p>Consider the boundary integral <span class="math">$\oint_c F\cdot\vec{T} ds$</span> around the smallest (green) squares. We have seen that the <em>curl</em> at a point in a direction is given in terms of the limit. Let the plane be the <span class="math">$x-y$</span> plane, and the <span class="math">$\hat{k}$</span> direction be the one coming out of the figure. In the derivation of the curl, we saw that the line integral for circulation around the square satisfies:</p>
<p class="math">\[
~
\lim \frac{1}{\Delta{x}\Delta{y}} \oint_C F \cdot\hat{T}ds =
\frac{\partial{F_y}}{\partial{x}} - \frac{\partial{F_x}}{\partial{y}}.
~
\]</p>
<p>If the green squares are small enough, then the line integrals satisfy:</p>
<p class="math">\[
~
\oint_C F \cdot\hat{T}ds
\approx
\left(
\frac{\partial{F_y}}{\partial{x}}
-
\frac{\partial{F_x}}{\partial{y}}
\right) \Delta{x}\Delta{y} .
~
\]</p>
<p>We interpret the right hand side as a Riemann sum approximation for the <span class="math">$2$</span> dimensional integral of the function <span class="math">$f(x,y) = \frac{\partial{F_x}}{\partial{y}} - \frac{\partial{F_y}}{\partial{x}}=\text{curl}(F)$</span>, the two-dimensional curl. Were the green squares continued to fill out the large blue square, then the sum of these terms would approximate the integral</p>
<p class="math">\[
~
\iint_S f(x,y) dA = \iint_S
\left(\frac{\partial{F_y}}{\partial{x}} - \frac{\partial{F_x}}{\partial{y}}\right) dA
= \iint_S \text{curl}(F) dA.
~
\]</p>
<p>However, the microscopic boundary integrals have cancellations that lead to a macroscopic boundary integral. The sum of <span class="math">$\oint_C F \cdot\hat{T}ds$</span> over the <span class="math">$4$</span> green squares will be equal to <span class="math">$\oint_{C_r} F\cdot\hat{T}ds$</span>, where <span class="math">$C_r$</span> is the red square, as the interior line integral pieces will all cancel off. The sum of <span class="math">$\oint_{C_r} F \cdot\hat{T}ds$</span> over the <span class="math">$4$</span> red squares will equal <span class="math">$\oint_{C_b} F \cdot\hat{T}ds$</span>, where <span class="math">$C_b$</span> is the oriented path around the blue square, as again the interior line pieces will cancel off. Etc.</p>
<p>This all suggests that the flow integral around the surface of the larger region (the blue square) is equivalent to the integral of the curl component over the region. This is <a href="https://en.wikipedia.org/wiki/Green%27s_theorem">Green</a>'s theorem, as stated by Wikipedia:</p>
<blockquote>
<p>Green's theorem: Let <span class="math">$C$</span> be a positively oriented, piecewise smooth, simple closed curve in the plane, and let <span class="math">$D$</span> be the region bounded by <span class="math">$C$</span>. If <span class="math">$F=\langle F_x, F_y\rangle$</span>, is a vector field on an open region containing <span class="math">$D$</span> having continuous partial derivatives then: <span class="math">$~ \oint_C F\cdot\hat{T}ds = \iint_D \left( \frac{\partial{F_y}}{\partial{x}} - \frac{\partial{F_x}}{\partial{y}} \right) dA= \iint_D \text{curl}(F)dA. ~$</span></p>
</blockquote>
<p>The statement of the theorem applies only to regions whose boundaries are simple closed curves. Not all simple regions have such boundaries. An annulus for example. This is a restriction that will be generalized.</p>
<h3>Examples</h3>
<p>Some examples, following Strang, are:</p>
<h4>Computing area</h4>
<p>Let <span class="math">$F(x,y) = \langle -y, x\rangle$</span>. Then <span class="math">$\frac{\partial{F_y}}{\partial{x}} - \frac{\partial{F_x}}{\partial{y}}=2$</span>, so</p>
<p class="math">\[
~
\frac{1}{2}\oint_C F\cdot\hat{T}ds = \frac{1}{2}\oint_C (xdy - ydx) =
\iint_D dA = A(D).
~
\]</p>
<p>This gives a means to compute the area of a region by integrating around its boundary.</p>
<hr />
<p>To compute the area of an ellipse, we have:</p>
<pre class='hljl'>
<span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-oB'>-</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>x</span><span class='hljl-p'>]</span><span class='hljl-t'>
</span><span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-n'>v</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-n'>v</span><span class='hljl-oB'>...</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-n'>a</span><span class='hljl-oB'>*</span><span class='hljl-nf'>cos</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>),</span><span class='hljl-n'>b</span><span class='hljl-oB'>*</span><span class='hljl-nf'>sin</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>)]</span><span class='hljl-t'>
</span><span class='hljl-nd'>@vars</span><span class='hljl-t'> </span><span class='hljl-n'>a</span><span class='hljl-t'> </span><span class='hljl-n'>b</span><span class='hljl-t'> </span><span class='hljl-n'>t</span><span class='hljl-t'> </span><span class='hljl-n'>positive</span><span class='hljl-oB'>=</span><span class='hljl-kc'>true</span><span class='hljl-t'>
</span><span class='hljl-p'>(</span><span class='hljl-ni'>1</span><span class='hljl-oB'>//</span><span class='hljl-ni'>2</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>*</span><span class='hljl-t'> </span><span class='hljl-nf'>integrate</span><span class='hljl-p'>(</span><span class='hljl-t'> </span><span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>))</span><span class='hljl-t'> </span><span class='hljl-oB'>⋅</span><span class='hljl-t'> </span><span class='hljl-n'>diff</span><span class='hljl-oB'>.</span><span class='hljl-p'>(</span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>),</span><span class='hljl-n'>t</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>0</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-n'>PI</span><span class='hljl-p'>))</span>
</pre>
<div class="well well-sm">\begin{equation*}\pi a b\end{equation*}</div>
<p>To compute the area of the triangle with vertices <span class="math">$(0,0)$</span>, <span class="math">$(a,0)$</span> and <span class="math">$(0,b)$</span> we can orient the boundary counter clockwise. Let <span class="math">$A$</span> be the line segment from <span class="math">$(0,b)$</span> to <span class="math">$(0,0)$</span>, <span class="math">$B$</span> be the line segment from <span class="math">$(0,0)$</span> to <span class="math">$(a,0)$</span>, and <span class="math">$C$</span> be the other. Then</p>
<p class="math">\[
~
\begin{align}
\frac{1}{2} \int_A F\cdot\hat{T} ds &=\frac{1}{2} \int_A -ydx = 0\\
\frac{1}{2} \int_B F\cdot\hat{T} ds &=\frac{1}{2} \int_B xdy = 0,
\end{align}
~
\]</p>
<p>as on <span class="math">$A$</span>, <span class="math">$y=0$</span> and <span class="math">$dy=0$</span> and on <span class="math">$B$</span>, <span class="math">$x=0$</span> and <span class="math">$dx=0$</span>.</p>
<p>On <span class="math">$C$</span> we have <span class="math">$\vec{r}(t) = (0, b) + t\cdot(1,-b/a) =\langle t, b-(bt)/a\rangle$</span> from <span class="math">$t=a$</span> to <span class="math">$0$</span></p>
<p class="math">\[
~
\int_C F\cdot \frac{d\vec{r}}{dt} dt =
\int_a^0 \langle -b + (bt)/a), t\rangle\cdot\langle 1, -b/a\rangle dt
= \int_a^0 -b dt = -bt\mid_{a}^0 = ba.
~
\]</p>
<p>Dividing by <span class="math">$1/2$</span> give the familiar answer <span class="math">$A=(1/2) a b$</span>.</p>
<h4>Conservative fields</h4>
<p>A vector field is conservative if path integrals for work are independent of the path. We have seen that a vector field that is the gradient of a scalar field will be conservative and vice versa. This led to the vanishing identify <span class="math">$\nabla\times\nabla(f) = 0$</span> for a scalar field <span class="math">$f$</span>.</p>
<p>Is the converse true? Namely, <em>if</em> for some vector field <span class="math">$F$</span>, <span class="math">$\nabla\times{F}$</span> is identically <span class="math">$0$</span> is the field conservative?</p>
<p>The answer is yes if vector field has continuous partial derivatives and the curl is <span class="math">$0$</span> in a simply connected domain.</p>
<p>For the two dimensional case the curl is a scalar. <em>If</em> <span class="math">$F = \langle F_x, F_y\rangle = \nabla{f}$</span> is conservative, then <span class="math">$\partial{F_y}/\partial{x} - \partial{F_x}/\partial{y} = 0$</span>.</p>
<p>Now assume <span class="math">$\partial{F_y}/\partial{x} - \partial{F_x}/\partial{y} = 0$</span>. Let <span class="math">$P$</span> and <span class="math">$Q$</span> be two points in the plane. Take any path, <span class="math">$C_1$</span> from <span class="math">$P$</span> to <span class="math">$Q$</span> and any return path, <span class="math">$C_2$</span>, from <span class="math">$Q$</span> to <span class="math">$P$</span> that do not cross and such that <span class="math">$C$</span>, the concatenation of the two paths, satisfies Green's theorem. Then, as <span class="math">$F$</span> is continuous on an open interval containing <span class="math">$D$</span>, we have:</p>
<p class="math">\[
~
0 = \iint_D 0 dA =
\iint_D \left(\partial{F_y}/\partial{x} - \partial{F_x}/\partial{y}\right)dA =
\oint_C F \cdot \hat{T} ds =
\int_{C_1} F \cdot \hat{T} ds + \int_{C_2}F \cdot \hat{T} ds.
~
\]</p>
<p>Reversing <span class="math">$C_2$</span> to go from <span class="math">$P$</span> to <span class="math">$Q$</span>, we see the two work integrals are identical, that is the field is conservative.</p>
<p>Summarizing:</p>
<ul>
<li><p>If <span class="math">$F=\nabla{f}$</span> then <span class="math">$F$</span> is conservative.</p>
</li>
<li><p>If <span class="math">$F=\langle F_x, F_y\rangle$</span> has <em>continuous</em> partial derivatives in a simply connected open region with <span class="math">$\partial{F_y}/\partial{x} - \partial{F_x}/\partial{y}=0$</span>, then in that region <span class="math">$F$</span> is conservative and can be represented as the gradient of a scalar function.</p>
</li>
</ul>
<p>For example, let <span class="math">$F(x,y) = \langle \sin(xy), \cos(xy) \rangle$</span>. Is this a conservative vector field?</p>
<p>We can check by taking partial derivatives. Those of interest are:</p>
<p class="math">\[
~
\begin{align}
\frac{\partial{F_y}}{\partial{x}} &= \frac{\partial{(\cos(xy))}}{\partial{x}} =
-\sin(xy) y,\\
\frac{\partial{F_x}}{\partial{y}} &= \frac{\partial{(\sin(xy))}}{\partial{y}} =
\cos(xy)x.
\end{align}
~
\]</p>
<p>It is not the case that <span class="math">$\partial{F_y}/\partial{x} - \partial{F_x}/\partial{y}=0$</span>, so this vector field is <em>not</em> conservative.</p>
<hr />
<p>The conditions of Green's theorem are important, as this next example shows.</p>
<p>Let <span class="math">$D$</span> be the unit disc, <span class="math">$C$</span> the unit circle parameterized counter clockwise.</p>
<p>Let <span class="math">$R(x,y) = \langle -y, x\rangle$</span> be a rotation field and <span class="math">$F(x,y) = R(x,y)/(R(x,y)\cdot R(x,y))$</span>. Then:</p>
<pre class='hljl'>
<span class='hljl-nf'>R</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-oB'>-</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>x</span><span class='hljl-p'>]</span><span class='hljl-t'>
</span><span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>R</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>)</span><span class='hljl-oB'>/</span><span class='hljl-p'>(</span><span class='hljl-nf'>R</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>)</span><span class='hljl-oB'>⋅</span><span class='hljl-nf'>R</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>))</span><span class='hljl-t'>
</span><span class='hljl-nd'>@vars</span><span class='hljl-t'> </span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-n'>y</span><span class='hljl-t'> </span><span class='hljl-n'>real</span><span class='hljl-oB'>=</span><span class='hljl-kc'>true</span><span class='hljl-t'>
</span><span class='hljl-n'>Fx</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>Fy</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-nf'>diff</span><span class='hljl-p'>(</span><span class='hljl-n'>Fy</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>x</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-t'> </span><span class='hljl-nf'>diff</span><span class='hljl-p'>(</span><span class='hljl-n'>Fx</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>y</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>|></span><span class='hljl-t'> </span><span class='hljl-n'>simplify</span>
</pre>
<div class="well well-sm">\begin{equation*}0\end{equation*}</div>
<p>Then, <span class="math">$\iint_D \left( \partial{F_y}/{\partial{x}}-\partial{F_xy}/{\partial{y}}\right)dA = 0$</span>. But,</p>
<p class="math">\[
~
F\cdot\hat{T} = \frac{R}{R\cdot{R}} \cdot \frac{R}{R\cdot{R}} = \frac{R\cdot{R}}{(R\cdot{R})^2} = \frac{1}{R\cdot{R}},
~
\]</p>
<p>so <span class="math">$\oint_C F\cdot\hat{T}ds = 2\pi$</span>, <span class="math">$C$</span> being the unit circle so <span class="math">$R\cdot{R}=1$</span>.</p>
<p>That is, for this example, Green's theorem does <strong>not</strong> apply, as the two integrals are not the same. What isn't satisfied in the theorem? <span class="math">$F$</span> is not continuous at the origin and our curve <span class="math">$C$</span> defining <span class="math">$D$</span> encircles the origin. So, <span class="math">$F$</span> does not have continuous partial derivatives, as is required for the theorem.</p>
<h4>More complicated boundary curves</h4>
<p>A simple closed curve is one that does not cross itself. Green's theorem applies to regions bounded by curves which have finitely many crosses provided the orientation used is consistent throughout.</p>
<p>Consider the curve <span class="math">$y = f(x)$</span>, <span class="math">$a \leq x \leq b$</span>, assuming <span class="math">$f$</span> is continuous, <span class="math">$f(a) > 0$</span>, and <span class="math">$f(b) < 0$</span>. We can use Green's theorem to compute the signed "area" under under <span class="math">$f$</span> if we consider the curve in <span class="math">$R^2$</span> from <span class="math">$(b,0)$</span> to <span class="math">$(a,0)$</span> to <span class="math">$(a, f(a))$</span>, to <span class="math">$(b, f(b))$</span> and back to <span class="math">$(b,0)$</span> in that orientation. This will cross at each zero of <span class="math">$f$</span>.</p>
<img 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" />
<p>Let <span class="math">$A$</span> label the red line, <span class="math">$B$</span> the green curve, <span class="math">$C$</span> the blue line, and <span class="math">$D$</span> the black line. Then the area is given from Green's theorem by considering half of the the line integral of <span class="math">$F(x,y) = \langle -y, x\rangle$</span> or <span class="math">$\oint_C (xdy - ydx)$</span>. To that matter we have:</p>
<p class="math">\[
~
\begin{align}
\int_A (xdy - ydx) &= a f(a)\\
\int_C (xdy - ydx) &= b(-f(b))\\
\int_D (xdy - ydx) &= 0\\
\end{align}
~
\]</p>
<p>Finally the integral over <span class="math">$B$</span>, using integration by parts:</p>
<p class="math">\[
~
\begin{align}
\int_B F(\vec{r}(t))\cdot \frac{d\vec{r}(t)}{dt} dt &=
\int_b^a \langle -f(t),t)\rangle\cdot\langle 1, f'(t)\rangle dt\\
&= \int_a^b f(t)dt - \int_a^b tf'(t)dt\\
&= \int_a^b f(t)dt - \left(tf(t)\mid_a^b - \int_a^b f(t) dt\right).
\end{align}
~
\]</p>
<p>Combining, we have after cancellation <span class="math">$\oint (xdy - ydx) = 2\int_a^b f(t) dt$</span>, or after dividing by <span class="math">$2$</span> the signed area under the curve.</p>
<hr />
<p>The region may not be simply connected. A simple case might be the disc: <span class="math">$1 \leq x^2 + y^2 \leq 4$</span>. In this figure we introduce a cut to make a simply connected region.</p>
<img 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" />
<p>The cut leads to a counter-clockwise orientation on the outer ring and a clockwise orientation on the inner ring. If this cut becomes so thin as to vanish, then the line integrals along the lines introducing the cut will cancel off and we have a boundary consisting of two curves with opposite orientations. (If we follow either orientation the closed figure is on the left.)</p>
<p>To see that the area integral of <span class="math">$F(x,y) = (1/2)\langle -y, x\rangle$</span> produces the area for this orientation we have, using <span class="math">$C_1$</span> as the outer ring, and <span class="math">$C_2$</span> as the inner ring:</p>
<p class="math">\[
~
\begin{align}
\oint_{C_1} F \cdot \hat{T} ds &=
\int_0^{2\pi} (1/2)(2)\langle -\sin(t), \cos(t)\rangle \cdot (2)\langle-\sin(t), \cos(t)\rangle dt
= (1/2) (2\pi) 4 = 4\pi\\
\oint_{C_2} F \cdot \hat{T} ds &=
\int_{0}^{2\pi} (1/2) \langle \sin(t), \cos(t)\rangle \cdot \langle-\sin(t), -\cos(t)\rangle dt\\
&= -(1/2)(2\pi) = -\pi.
\end{align}
~
\]</p>
<p>(Using <span class="math">$\vec{r}(t) = 2\langle \cos(t), \sin(t)\rangle$</span> for the outer ring and <span class="math">$\vec{r}(t) = 1\langle \cos(t), -\sin(t)\rangle$</span> for the inner ring.)</p>
<p>Adding the two gives <span class="math">$4\pi - \pi = \pi \cdot(b^2 - a^2)$</span>, with <span class="math">$b=2$</span> and <span class="math">$a=1$</span>.</p>
<h4>Flow not flux</h4>
<p>Green's theorem has a complement in terms of flow across <span class="math">$C$</span>. As <span class="math">$C$</span> is positively oriented (so the bounded interior piece is on the left of <span class="math">$\hat{T}$</span> as the curve is traced), a normal comes by rotating <span class="math">$90^\circ$</span> counterclockwise. That is if <span class="math">$\hat{T} = \langle a, b\rangle$</span>, then <span class="math">$\hat{N} = \langle b, -a\rangle$</span>.</p>
<p>Let <span class="math">$F = \langle F_x, F_y \rangle$</span> and <span class="math">$G = \langle F_y, -F_x \rangle$</span>, then $ G\cdot\hat{T} = -F\cdot\hat{N}<span class="math">$. The curl formula applied to $G$</span> becomes</p>
<p class="math">\[
~
\frac{\partial{G_y}}{\partial{x}} - \frac{\partial{G_x}}{\partial{y}} =
\frac{\partial{-F_x}}{\partial{x}}-\frac{\partial{(F_y)}}{\partial{y}}
=
-\left(\frac{\partial{F_x}}{\partial{x}} + \frac{\partial{F_y}}{\partial{y}}\right)=
-\nabla\cdot{F}.
~
\]</p>
<p>Green's theorem applied to <span class="math">$G$</span> then gives this formula for <span class="math">$F$</span>:</p>
<p class="math">\[
~
\oint_C F\cdot\hat{N} ds =
-\oint_C G\cdot\hat{T} ds =
-\iint_D (-\nabla\cdot{F})dA =
\iint_D \nabla\cdot{F}dA.
~
\]</p>
<p>The right hand side integral is the <span class="math">$2$</span>-dimensional divergence, so this has the interpretation that the flux through <span class="math">$C$</span> (<span class="math">$\oint_C F\cdot\hat{N} ds$</span>) is the integral of the divergence. (The divergence is defined in terms of a limit of this picture, so this theorem extends the microscopic view to a bigger view.)</p>
<p>Rather than leave this as an algebraic consequence, we sketch out how this could be intuitively argued from a microscopic picture, the reason being similar to that for the curl, where we considered the small green boxes. In the generalization to dimension <span class="math">$3$</span> both arguments are needed for our discussion:</p>
<p>Consider now a <span class="math">$2$</span>-dimensional region split into microscopic boxes; we focus now on two adjacent boxes, <span class="math">$A$</span> and <span class="math">$B$</span>:</p>
<img src="data:image/png;base64,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" />
<p>The integrand <span class="math">$F\cdot\hat{N}$</span> for <span class="math">$A$</span> will differ from that for <span class="math">$B$</span> by a minus sign, as the field is the same, but the normal carries an opposite sign. Hence the contribution to the line integral around <span class="math">$A$</span> along this part of the box partition will cancel out with that around <span class="math">$B$</span>. The only part of the line integral that will not cancel out for such a partition will be the boundary pieces of the overall shape.</p>
<p>This figure shows in red the parts of the line integrals that will cancel for a more refined grid.</p>
<img src="data:image/png;base64,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" />
<p>Again, the microscopic boundary integrals when added will give a macroscopic boundary integral due to cancellations.</p>
<p>But, as seen in the derivation of the divergence, only modified for <span class="math">$2$</span> dimensions, we have <span class="math">$\nabla\cdot{F} = \lim \frac{1}{\Delta S} \oint_C F\cdot\hat{N}$</span>, so for each cell</p>
<p class="math">\[
~
\oint_{C_i} F\cdot\hat{N} \approx \left(\nabla\cdot{F}\right)\Delta{x}\Delta{y},
~
\]</p>
<p>an approximating Riemann sum for <span class="math">$\iint_D \nabla\cdot{F} dA$</span>. This yields:</p>
<p class="math">\[
~
\oint_C (F \cdot\hat{N}) dA =
\sum_i \oint_{C_i} (F \cdot\hat{N}) dA \approx
\sum \left(\nabla\cdot{F}\right)\Delta{x}\Delta{y} \approx
\iint_S \nabla\cdot{F}dA,
~
\]</p>
<p>the approximations becoming equals signs in the limit.</p>
<h5>Example</h5>
<p>Let <span class="math">$F(x,y) = \langle ax , by\rangle$</span>, and <span class="math">$D$</span> be the square with side length <span class="math">$2$</span> centered at the origin. Verify that the flow form of Green's theorem holds.</p>
<p>We have the divergence is simply <span class="math">$a + b$</span> so <span class="math">$\iint_D (a+b)dA = (a+b)A(D) = 4(a+b)$</span>.</p>
<p>The integral of the flow across <span class="math">$C$</span> consists of <span class="math">$4$</span> parts. By symmetry, they all should be similar. We consider the line segment connecting <span class="math">$(1,-1)$</span> to <span class="math">$(1,1)$</span> (which has the proper counterclockwise orientation):</p>
<p class="math">\[
~
\int_C F \cdot \hat{N} ds=
\int_{-1}^1 \langle F_x, F_y\rangle\cdot\langle 0, 1\rangle ds =
\int_{-1}^1 b dy = 2b.
~
\]</p>
<p>Integrating across the top will give <span class="math">$2a$</span>, along the bottom <span class="math">$2a$</span>, and along the left side <span class="math">$2b$</span> totaling <span class="math">$4(a+b)$</span>.</p>
<hr />
<p>Next, let <span class="math">$F(x,y) = \langle -y, x\rangle$</span>. This field rotates, and we see has no divergence, as <span class="math">$\partial{F_x}/\partial{x} = \partial{(-y)}/\partial{x} = 0$</span> and <span class="math">$\partial{F_y}/\partial{y} = \partial{x}/\partial{y} = 0$</span>. As such, the area integral in Green's theorem is <span class="math">$0$</span>. As well, <span class="math">$F$</span> is parallel to <span class="math">$\hat{T}$</span> so <em>orthogonal</em> to <span class="math">$\hat{N}$</span>, hence <span class="math">$\oint F\cdot\hat{N}ds = \oint 0ds = 0$</span>. For any region <span class="math">$S$</span> there is no net flow across the boundary and no source or sink of flow inside.</p>
<h5>Example: stream functions</h5>
<p>Strang compiles the following equivalencies (one implies the others) for when the total flux is <span class="math">$0$</span> for a vector field with continuous partial derivatives:</p>
<ul>
<li><p class="math">\[
\oint F\cdot\hat{N} ds = 0
\]</p>
</li>
<li><p>for all curves connecting <span class="math">$P$</span> to <span class="math">$Q$</span>, <span class="math">$\int_C F\cdot\hat{N}$</span> has the same value</p>
</li>
<li><p>There is a <em>stream</em> function <span class="math">$g(x,y)$</span> for which <span class="math">$F_x = \partial{g}/\partial{y}$</span> and <span class="math">$F_y = -\partial{g}/\partial{x}$</span>. (This says <span class="math">$\nabla{g}$</span> is <em>orthogonal</em> to <span class="math">$F$</span>.)</p>
</li>
<li><p>the components have zero divergence: <span class="math">$\partial{F_x}/\partial{x} + \partial{F_y}/\partial{y} = 0$</span>.</p>
</li>
</ul>
<p>Strang calls these fields <em>source</em> free as the divergence is <span class="math">$0$</span>.</p>
<p>A <a href="https://en.wikipedia.org/wiki/Stream_function">stream</a> function plays the role of a scalar potential, but note the minus sign and order of partial derivatives. These are accounted for by saying <span class="math">$\langle F_x, F_y, 0\rangle = \nabla\times\langle 0, 0, g\rangle$</span>, in Cartesian coordinates. Streamlines are tangent to the flow of the velocity vector of the flow and in two dimensions are perpendicular to field lines formed by the gradient of a scalar function.</p>
<p><a href="https://en.wikipedia.org/wiki/Potential_flow">Potential</a> flow uses a scalar potential function to describe the velocity field through <span class="math">$\vec{v} = \nabla{f}$</span>. As such, potential flow is irrotational due to the curl of a conservative field being the zero vector. Restricting to two dimensions, this says the partials satisfy <span class="math">$\partial{v_y}/\partial{x} - \partial{v_x}/\partial{y} = 0$</span>. For an incompressible flow (like water) the velocity will have <span class="math">$0$</span> divergence too. That is <span class="math">$\nabla\cdot\nabla{f} = 0$</span>–-<span class="math">$f$</span> satisfies Laplace's equation.</p>
<p>By the equivalencies above, an incompressible potential flow means in addition to a potential function, <span class="math">$f$</span>, there is a stream function <span class="math">$g$</span> satisfying <span class="math">$v_x = \partial{g}/\partial{y}$</span> and <span class="math">$v_y=-\partial{g}/\partial{x}$</span>.</p>
<p>The gradient of <span class="math">$f=\langle v_x, v_y\rangle$</span> is orthogonal to the contour lines of <span class="math">$f$</span>. The gradient of <span class="math">$g=\langle -v_y, v_x\rangle$</span> is orthogonal to the gradient of <span class="math">$f$</span>, so are tangents to the contour lines of <span class="math">$f$</span>. Reversing, the gradient of <span class="math">$f$</span> is tangent to the contour lines of <span class="math">$g$</span>. If the flow follows the velocity field, then the contour lines of <span class="math">$g$</span> indicate the flow of the fluid.</p>
<p>As an <a href="https://en.wikipedia.org/wiki/Potential_flow#Examples_of_two-dimensional_flows">example</a> consider the following in polar coordinates:</p>
<p class="math">\[
~
f(r, \theta) = A r^n \cos(n\theta),\quad
g(r, \theta) = A r^n \sin(n\theta).
~
\]</p>
<p>The constant <span class="math">$A$</span> just sets the scale, the parameter <span class="math">$n$</span> has a qualitative effect on the contour lines. Consider <span class="math">$n=2$</span> visualized below:</p>
<pre class='hljl'>
<span class='hljl-n'>n</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-t'>
</span><span class='hljl-nf'>f</span><span class='hljl-p'>(</span><span class='hljl-n'>r</span><span class='hljl-p'>,</span><span class='hljl-n'>theta</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>r</span><span class='hljl-oB'>^</span><span class='hljl-n'>n</span><span class='hljl-t'> </span><span class='hljl-oB'>*</span><span class='hljl-t'> </span><span class='hljl-nf'>cos</span><span class='hljl-p'>(</span><span class='hljl-n'>n</span><span class='hljl-oB'>*</span><span class='hljl-n'>theta</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-nf'>g</span><span class='hljl-p'>(</span><span class='hljl-n'>r</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>theta</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>r</span><span class='hljl-oB'>^</span><span class='hljl-n'>n</span><span class='hljl-t'> </span><span class='hljl-oB'>*</span><span class='hljl-t'> </span><span class='hljl-nf'>sin</span><span class='hljl-p'>(</span><span class='hljl-n'>n</span><span class='hljl-oB'>*</span><span class='hljl-n'>theta</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-nf'>f</span><span class='hljl-p'>(</span><span class='hljl-n'>v</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>f</span><span class='hljl-p'>(</span><span class='hljl-n'>v</span><span class='hljl-oB'>...</span><span class='hljl-p'>);</span><span class='hljl-t'> </span><span class='hljl-nf'>g</span><span class='hljl-p'>(</span><span class='hljl-n'>v</span><span class='hljl-p'>)</span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>g</span><span class='hljl-p'>(</span><span class='hljl-n'>v</span><span class='hljl-oB'>...</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-nf'>Φ</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-nf'>sqrt</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-oB'>^</span><span class='hljl-ni'>2</span><span class='hljl-t'> </span><span class='hljl-oB'>+</span><span class='hljl-t'> </span><span class='hljl-n'>y</span><span class='hljl-oB'>^</span><span class='hljl-ni'>2</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-nf'>atan</span><span class='hljl-p'>(</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>x</span><span class='hljl-p'>)]</span><span class='hljl-t'>
</span><span class='hljl-nf'>Φ</span><span class='hljl-p'>(</span><span class='hljl-n'>v</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>Φ</span><span class='hljl-p'>(</span><span class='hljl-n'>v</span><span class='hljl-oB'>...</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-n'>xs</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>ys</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>range</span><span class='hljl-p'>(</span><span class='hljl-oB'>-</span><span class='hljl-ni'>2</span><span class='hljl-p'>,</span><span class='hljl-ni'>2</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>length</span><span class='hljl-oB'>=</span><span class='hljl-ni'>50</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-nf'>contour</span><span class='hljl-p'>(</span><span class='hljl-n'>xs</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>ys</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>f</span><span class='hljl-oB'>∘</span><span class='hljl-n'>Φ</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>color</span><span class='hljl-oB'>=:</span><span class='hljl-n'>red</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>legend</span><span class='hljl-oB'>=</span><span class='hljl-kc'>false</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>aspect_ratio</span><span class='hljl-oB'>=:</span><span class='hljl-n'>equal</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-nf'>contour!</span><span class='hljl-p'>(</span><span class='hljl-n'>xs</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>ys</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>g</span><span class='hljl-oB'>∘</span><span class='hljl-n'>Φ</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>color</span><span class='hljl-oB'>=:</span><span class='hljl-n'>blue</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>linewidth</span><span class='hljl-oB'>=</span><span class='hljl-ni'>3</span><span class='hljl-p'>)</span>
</pre>
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" />
<p>The fluid would flow along the blue (stream) lines. The red lines have equal potential along the line.</p>
<h2>Stokes' theorem</h2>
<div class="well well-sm">
<figure>
<img 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"/>
<figcaption><div class="markdown"><p>The Jiffy Pop popcorn design has a top surface that is designed to expand to accommodate the popped popcorn. Viewed as a surface, the surface area grows, but the boundary–where the surface meets the pan–stays the same. This is an example that many different surfaces can have the same bounding curve. Stokes' theorem will relate a surface integral over the surface to a line integral about the bounding curve.</p>
</div></figcaption>
</figure>
</div>
<p>Were the figure of Jiffy Pop popcorn animated, the surface of foil would slowly expand due to pressure of popping popcorn until the popcorn was ready. However, the boundary would remain the same. Many different surfaces can have the same boundary. Take for instance the upper half unit sphere in <span class="math">$R^3$</span> it having the curve <span class="math">$x^2 + y^2 = 1$</span> as a boundary curve. This is the same curve as the surface of the cone <span class="math">$z = 1 - (x^2 + y^2)$</span> that lies above the <span class="math">$x-y$</span> plane. This would also be the same curve as the surface formed by a Mickey Mouse glove if the collar were scaled and positioned onto the unit circle.</p>
<p>Imagine if instead of the retro labeling, a rectangular grid were drawn on the surface of the Jiffy Pop popcorn before popping. By Green's theorem, the integral of the curl of a vector field <span class="math">$F$</span> over this surface reduces to just an accompanying line integral over the boundary, <span class="math">$C$</span>, where the orientation of <span class="math">$C$</span> is in the <span class="math">$\hat{k}$</span> direction. The intuitive derivation being that the curl integral over the grid will have cancellations due to adjacent cells having shared paths being traversed in both directions.</p>
<p>Now imagine the popcorn expanding, but rather than worry about burning, focusing instead on what happens to the integral of the curl in the direction of the normal, we have</p>
<p class="math">\[
~
\nabla\times{F} \cdot\hat{N} = \lim \frac{1}{\Delta{S}} \oint_C F\cdot\hat{T} ds
\approx \frac{1}{\Delta{S}} F\cdot\hat{T} \Delta{s}.
~
\]</p>
<p>This gives the series of approximations:</p>
<p class="math">\[
~
\oint_C F\cdot\hat{T} ds =
\sum \oint_{C_i} F\cdot\hat{T} ds \approx
\sum F\cdot\hat{T} \Delta s \approx
\sum \nabla\times{F}\cdot\hat{N} \Delta{S} \approx
\iint_S \nabla\times{F}\cdot\hat{N} dS.
~
\]</p>
<p>In terms of our expanding popcorn, the boundary integral–after accounting for cancellations, as in Green's theorem–can be seen as a microscopic sum of boundary integrals each of which is approximated by a term <span class="math">$\nabla\times{F}\cdot\hat{N} \Delta{S}$</span> which is viewed as a Riemann sum approximation for the the integral of the curl over the surface. The cancellation depends on a proper choice of orientation, but with that we have:</p>
<blockquote>
<p>Stokes' theorem. Let <span class="math">$S$</span> be an orientable smooth surface in <span class="math">$R^3$</span> with boundary <span class="math">$C$</span>, <span class="math">$C$</span> oriented so that the chosen normal for <span class="math">$S$</span> agrees with the right-hand rule for <span class="math">$C$</span>'s orientation. Then <em>if</em> <span class="math">$F$</span> has continuous partial derivatives <span class="math">$~ \oint_C F \cdot\hat{T} ds = \iint_S (\nabla\times{F})\cdot\hat{N} dA. ~$</span></p>
</blockquote>
<p>Green's theorem is an immediate consequence upon viewing the region in <span class="math">$R^2$</span> as a surface in <span class="math">$R^3$</span> with normal <span class="math">$\hat{k}$</span>.</p>
<h3>Examples</h3>
<h5>Example</h5>
<p>Our first example involves just an observation. For any simply connected surface <span class="math">$S$</span> without boundary (such as a sphere) the integral <span class="math">$\oint_S \nabla\times{F}dS=0$</span>, as the line integral around the boundary must be <span class="math">$0$</span>, as there is no boundary.</p>
<h5>Example</h5>
<p>Let <span class="math">$F(x,y,z) = \langle x^2, 0, y^2\rangle$</span> and <span class="math">$C$</span> be the circle <span class="math">$x^2 + z^2 = 1$</span> with <span class="math">$y=0$</span>. Find <span class="math">$\oint_C F\cdot\hat{T}ds$</span>.</p>
<p>We can use Stoke's theorem with the surface being just the disc, so that <span class="math">$\hat{N} = \hat{j}$</span>. This makes the computation easy:</p>
<pre class='hljl'>
<span class='hljl-nd'>@vars</span><span class='hljl-t'> </span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-n'>y</span><span class='hljl-t'> </span><span class='hljl-n'>z</span><span class='hljl-t'> </span><span class='hljl-n'>real</span><span class='hljl-oB'>=</span><span class='hljl-kc'>true</span><span class='hljl-t'>
</span><span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-n'>x</span><span class='hljl-oB'>^</span><span class='hljl-ni'>2</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>0</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>y</span><span class='hljl-oB'>^</span><span class='hljl-ni'>2</span><span class='hljl-p'>]</span><span class='hljl-t'>
</span><span class='hljl-n'>CurlF</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>curl</span><span class='hljl-p'>(</span><span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>])</span>
</pre>
<div class="well well-sm">\[ \left[ \begin{array}{r}2 y\\0\\0\end{array} \right] \]</div>
<p>We have <span class="math">$\nabla\times{F}\cdot\hat{N} = 0$</span>, so the answer is <span class="math">$0$</span>.</p>
<p>We could have directly computed this. Let <span class="math">$r(t) = \langle \cos(t), 0, \sin(t)\rangle$</span>. Then we have:</p>
<pre class='hljl'>
<span class='hljl-nd'>@vars</span><span class='hljl-t'> </span><span class='hljl-n'>t</span><span class='hljl-t'> </span><span class='hljl-n'>real</span><span class='hljl-oB'>=</span><span class='hljl-kc'>true</span><span class='hljl-t'>
</span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-nf'>cos</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-ni'>0</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-nf'>sin</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>)]</span><span class='hljl-t'>
</span><span class='hljl-n'>rp</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>diff</span><span class='hljl-oB'>.</span><span class='hljl-p'>(</span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-n'>t</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-n'>integrand</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>)</span><span class='hljl-oB'>...</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>⋅</span><span class='hljl-t'> </span><span class='hljl-n'>rp</span>
</pre>
<div class="well well-sm">\begin{equation*}- \sin{\left (t \right )} \cos^{2}{\left (t \right )}\end{equation*}</div>
<p>The integrand isn't obviously going to yield <span class="math">$0$</span> for the integral, but through symmetry:</p>
<pre class='hljl'>
<span class='hljl-nf'>integrate</span><span class='hljl-p'>(</span><span class='hljl-n'>integrand</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>0</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-n'>PI</span><span class='hljl-p'>))</span>
</pre>
<div class="well well-sm">\begin{equation*}0\end{equation*}</div>
<h5>Example: Ampere's circuital law</h5>
<p>(Schey) Suppose a current <span class="math">$I$</span> flows along a line and <span class="math">$C$</span> is a path encircling the current with orientation such that the right hand rule points in the direction of the current flow.</p>
<p>Ampere's circuital law relates the line integral of the magnetic field to the induced current through:</p>
<p class="math">\[
~
\oint_C B\cdot\hat{T} ds = \mu_0 I.
~
\]</p>
<p>The goal here is to re-express this integral law to produce a law at each point of the field. Let <span class="math">$S$</span> be a surface with boundary <span class="math">$C$</span>, Let <span class="math">$J$</span> be the current density–<span class="math">$J=\rho v$</span>, with <span class="math">$\rho$</span> the density of the current (not time-varying) and <span class="math">$v$</span> the velocity. The current can be re-expressed as <span class="math">$I = \iint_S J\cdot\hat{n}dA$</span>. (If the current flows through a wire and <span class="math">$S$</span> is much bigger than the wire, this is still valid as <span class="math">$\rho=0$</span> outside of the wird.)</p>
<p>We then have:</p>
<p class="math">\[
~
\mu_0 \iint_S J\cdot\hat{N}dA =
\mu_0 I =
\oint_C B\cdot\hat{T} ds =
\iint_S (\nabla\times{B})\cdot\hat{N}dA.
~
\]</p>
<p>As <span class="math">$S$</span> and <span class="math">$C$</span> are arbitrary, this implies the integrands of the surface integrals are equal, or:</p>
<p class="math">\[
~
\nabla\times{B} = \mu_0 J.
~
\]</p>
<h5>Example: Faraday's law</h5>
<p>(Strang) Suppose <span class="math">$C$</span> is a wire and there is a time-varying magnetic field <span class="math">$B(t)$</span>. Then Faraday's law says the <em>flux</em> passing within <span class="math">$C$</span> through a surface <span class="math">$S$</span> with boundary <span class="math">$C$</span> of the magnetic field, <span class="math">$\phi = \iint B\cdot\hat{N}dS$</span>, induces an electric field <span class="math">$E$</span> that does work:</p>
<p class="math">\[
~
\oint_C E\cdot\hat{T}ds = -\frac{\partial{\phi}}{\partial{t}}.
~
\]</p>
<p>Faraday's law is an empirical statement. Stokes' theorem can be used to produce one of Maxwell's equations. For any surface <span class="math">$S$</span>, as above with its boundary being <span class="math">$C$</span>, we have both:</p>
<p class="math">\[
~
-\iint_S \left(\frac{\partial{B}}{\partial{t}}\cdot\hat{N}\right)dS =
-\frac{\partial{\phi}}{\partial{t}} =
\oint_C E\cdot\hat{T}ds =
\iint_S (\nabla\times{E}) dS.
~
\]</p>
<p>This is true for any capping surface for <span class="math">$C$</span>. Shrinking <span class="math">$C$</span> to a point means it will hold for each point in <span class="math">$R^3$</span>. That is:</p>
<p class="math">\[
~
\nabla\times{E} = -\frac{\partial{B}}{\partial{t}}.
~
\]</p>
<h5>Example: Conservative fields</h5>
<p>Green's theorem gave a characterization of <span class="math">$2$</span>-dimensional conservative fields, Stokes' theorem provides a characterization for <span class="math">$3$</span> dimensional conservative fields (with continuous derivatives):</p>
<ul>
<li><p>The work <span class="math">$\oint_C F\cdot\hat{T} ds = 0$</span> for every closed path</p>
</li>
<li><p>The work <span class="math">$\int_P^Q F\cdot\hat{T} ds$</span> is independent of the path between <span class="math">$P$</span> and <span class="math">$Q$</span></p>
</li>
<li><p>for a scalar potential function <span class="math">$\phi$</span>, <span class="math">$F = \nabla{\phi}$</span></p>
</li>
<li><p>The curl satisfies: <span class="math">$\nabla\times{F} = \vec{0}$</span> (and the domain is simply connected).</p>
</li>
</ul>
<p>Stokes's theorem can be used to show the first and fourth are equivalent.</p>
<p>First, <span class="math">$0 = \oint_C F\cdot\hat{T} ds$</span>, then by Stokes' theorem <span class="math">$0 = \int_S \nabla\times{F} dS$</span> for any orientable surface <span class="math">$S$</span> with boundary <span class="math">$C$</span>. For a given point, letting <span class="math">$C$</span> shrink to that point can be used to see that the cross product must be <span class="math">$0$</span> at that point.</p>
<p>Conversely, if the cross product is zero in a simply connected region, then tke any simple closed curve, <span class="math">$C$</span> in the region. If the region is <a href="http://math.mit.edu/~jorloff/suppnotes/suppnotes02/v14.pdf">simply connected</a> then there exists an orientable surface, <span class="math">$S$</span> in the region with boundary <span class="math">$C$</span> for which: <span class="math">$\oint_C F\cdot{N} ds = \iint_S (\nabla\times{F})\cdot\hat{N}dS= \iint_S \vec{0}\cdot\hat{N}dS = 0$</span>.</p>
<p>The construction of a scalar potential function from the field can be done as illustrated in this next example.</p>
<p>Take <span class="math">$F = \langle yz^2, xz^2, 2xyz \rangle$</span>. Verify <span class="math">$F$</span> is conservative and find a scalar potential <span class="math">$\phi$</span>.</p>
<p>To verify that <span class="math">$F$</span> is conservative, we find its curl to see that it is <span class="math">$\vec{0}$</span>:</p>
<pre class='hljl'>
<span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-n'>y</span><span class='hljl-oB'>*</span><span class='hljl-n'>z</span><span class='hljl-oB'>^</span><span class='hljl-ni'>2</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>x</span><span class='hljl-oB'>*</span><span class='hljl-n'>z</span><span class='hljl-oB'>^</span><span class='hljl-ni'>2</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-oB'>*</span><span class='hljl-n'>x</span><span class='hljl-oB'>*</span><span class='hljl-n'>y</span><span class='hljl-oB'>*</span><span class='hljl-n'>z</span><span class='hljl-p'>]</span><span class='hljl-t'>
</span><span class='hljl-nd'>@vars</span><span class='hljl-t'> </span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-n'>y</span><span class='hljl-t'> </span><span class='hljl-n'>z</span><span class='hljl-t'> </span><span class='hljl-n'>real</span><span class='hljl-oB'>=</span><span class='hljl-kc'>true</span><span class='hljl-t'>
</span><span class='hljl-nf'>curl</span><span class='hljl-p'>(</span><span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>])</span>
</pre>
<div class="well well-sm">\[ \left[ \begin{array}{r}0\\0\\0\end{array} \right] \]</div>
<p>We need <span class="math">$\phi$</span> with <span class="math">$\partial{\phi}/\partial{x} = F_x = yz^2$</span>. To that end, we integrate in <span class="math">$x$</span>:</p>
<p class="math">\[
~
\phi(x,y,z) = \int yz^2 dx = xyz^2 + g(y,z),
~
\]</p>
<p>the function <span class="math">$g(y,z)$</span> is a "constant" of integration (it doesn't depend on <span class="math">$x$</span>). That <span class="math">$\partial{\phi}/\partial{x} = F_x$</span> is true is easy to verify. Now, consider the partial in <span class="math">$y$</span>:</p>
<p class="math">\[
~
\frac{\partial{\phi}}{\partial{y}} = xz^2 + \frac{\partial{g}}{\partial{y}} = F_y = xz^2.
~
\]</p>
<p>So we have <span class="math">$\frac{\partial{g}}{\partial{y}}=0$</span> or <span class="math">$g(y,z) = h(z)$</span>, some constant in <span class="math">$y$</span>. Finally, we must have <span class="math">$\partial{\phi}/\partial{z} = F_z$</span>, or</p>
<p class="math">\[
~
\frac{\partial{\phi}}{\partial{z}} = 2xyz + h'(z) = F_z = 2xyz,
~
\]</p>
<p>So <span class="math">$h'(z) = 0$</span>. This value can be any constant, even <span class="math">$0$</span> which we take, so that <span class="math">$g(y,z) = 0$</span> and <span class="math">$\phi(x,y,z) = xyz^2$</span> is a scalar potential for <span class="math">$F$</span>.</p>
<h5>Example</h5>
<p>Let <span class="math">$F(x,y,z) = \nabla(xy^2z^3) = \langle y^2z^3, 2xyz^3, 3xy^2z^2\rangle$</span>. Show that the line integrals around the unit circle in the <span class="math">$x-y$</span> plane and the <span class="math">$y-z$</span> planes are <span class="math">$0$</span>, as <span class="math">$F$</span> is conservative.</p>
<pre class='hljl'>
<span class='hljl-nd'>@vars</span><span class='hljl-t'> </span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-n'>y</span><span class='hljl-t'> </span><span class='hljl-n'>z</span><span class='hljl-t'> </span><span class='hljl-n'>t</span><span class='hljl-t'>
</span><span class='hljl-n'>Fxyz</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>∇</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-oB'>*</span><span class='hljl-n'>y</span><span class='hljl-oB'>^</span><span class='hljl-ni'>2</span><span class='hljl-oB'>*</span><span class='hljl-n'>z</span><span class='hljl-oB'>^</span><span class='hljl-ni'>3</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-nf'>cos</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-nf'>sin</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-ni'>0</span><span class='hljl-p'>]</span><span class='hljl-t'>
</span><span class='hljl-n'>rp</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>diff</span><span class='hljl-oB'>.</span><span class='hljl-p'>(</span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-n'>t</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-n'>Ft</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>subs</span><span class='hljl-oB'>.</span><span class='hljl-p'>(</span><span class='hljl-n'>Fxyz</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-oB'>.=></span><span class='hljl-t'> </span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>)[</span><span class='hljl-ni'>1</span><span class='hljl-p'>],</span><span class='hljl-t'> </span><span class='hljl-n'>y</span><span class='hljl-oB'>.=></span><span class='hljl-t'> </span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>)[</span><span class='hljl-ni'>2</span><span class='hljl-p'>],</span><span class='hljl-t'> </span><span class='hljl-n'>z</span><span class='hljl-t'> </span><span class='hljl-oB'>.=></span><span class='hljl-t'> </span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>)[</span><span class='hljl-ni'>3</span><span class='hljl-p'>])</span><span class='hljl-t'>
</span><span class='hljl-nf'>integrate</span><span class='hljl-p'>(</span><span class='hljl-n'>Ft</span><span class='hljl-t'> </span><span class='hljl-oB'>⋅</span><span class='hljl-t'> </span><span class='hljl-n'>rp</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>0</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-n'>PI</span><span class='hljl-p'>))</span>
</pre>
<div class="well well-sm">\begin{equation*}0\end{equation*}</div>
<p>(This is trivial, as <code>Ft</code> is <span class="math">$0$</span>, as each term as a <span class="math">$z$</span> factor of <span class="math">$0$</span>.)</p>
<p>In the <span class="math">$y-z$</span> plane we have:</p>
<pre class='hljl'>
<span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-ni'>0</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-nf'>cos</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-nf'>sin</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>)]</span><span class='hljl-t'>
</span><span class='hljl-n'>rp</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>diff</span><span class='hljl-oB'>.</span><span class='hljl-p'>(</span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-n'>t</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-n'>Ft</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>subs</span><span class='hljl-oB'>.</span><span class='hljl-p'>(</span><span class='hljl-n'>Fxyz</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-oB'>.=></span><span class='hljl-t'> </span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>)[</span><span class='hljl-ni'>1</span><span class='hljl-p'>],</span><span class='hljl-t'> </span><span class='hljl-n'>y</span><span class='hljl-oB'>.=></span><span class='hljl-t'> </span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>)[</span><span class='hljl-ni'>2</span><span class='hljl-p'>],</span><span class='hljl-t'> </span><span class='hljl-n'>z</span><span class='hljl-t'> </span><span class='hljl-oB'>.=></span><span class='hljl-t'> </span><span class='hljl-nf'>r</span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>)[</span><span class='hljl-ni'>3</span><span class='hljl-p'>])</span><span class='hljl-t'>
</span><span class='hljl-nf'>integrate</span><span class='hljl-p'>(</span><span class='hljl-n'>Ft</span><span class='hljl-t'> </span><span class='hljl-oB'>⋅</span><span class='hljl-t'> </span><span class='hljl-n'>rp</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>t</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>0</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-n'>PI</span><span class='hljl-p'>))</span>
</pre>
<div class="well well-sm">\begin{equation*}0\end{equation*}</div>
<p>This is also easy, as <code>Ft</code> has only an <code>x</code> component and <code>rp</code> has only <code>y</code> and <code>z</code> components, so the two are orthogonal.</p>
<h5>Example</h5>
<p>In two dimensions the vector field <span class="math">$F(x,y) = \langle -y, x\rangle/(x^2+y^2) = S(x,y)/\|R\|^2$</span> is irrotational (<span class="math">$0$</span> curl) and has <span class="math">$0$</span> divergence, but is <em>not</em> conservative in <span class="math">$R^2$</span>, as with <span class="math">$C$</span> being the unit disk we have <span class="math">$\oint_C F\cdot\hat{T}ds = \int_0^{2\pi} \langle -\sin(\theta),\cos(\theta)\rangle \cdot \langle-\sin(\theta), \cos(\theta)\rangle/1 d\theta = 2\pi$</span>. This is because <span class="math">$F$</span> is not continuously differentiable at the origin, so the path <span class="math">$C$</span> is not in a simply connected domain where <span class="math">$F$</span> is continuously differentiable. (Were <span class="math">$C$</span> to avoid the origin, the integral would be <span class="math">$0$</span>.)</p>
<p>In three dimensions, removing a single point in a domain does change simple connectedness, but removing an entire line will. So the function <span class="math">$F(x,y,z) =\langle -y,x,0\rangle/(x^2+y^2)\rangle$</span> will have <span class="math">$0$</span> curl, <span class="math">$0$</span> divergence, but won't be conservative in a domain that includes the <span class="math">$z$</span> axis.</p>
<p>However, the function <span class="math">$F(x,y,z) = \langle x, y,z\rangle/\sqrt{x^2+y^2+z^2}$</span> has curl <span class="math">$0$</span>, except at the origin. However, <span class="math">$R^3$</span> less the origin, as a domain, is simply connected, so <span class="math">$F$</span> will be conservative.</p>
<h2>Divergence theorem</h2>
<p>The divergence theorem is a consequence of a simple observation. Consider two adjacent cubic regions that share a common face. The boundary integral, <span class="math">$\oint_S F\cdot\hat{N} dA$</span>, can be computed for each cube. The surface integral requires a choice of normal, and the convention is to use the outward pointing normal. The common face of the two cubes has <em>different</em> outward pointing normals, the difference being a minus sign. As such, the contribution of the surface integral over this face for one cube is <em>cancelled</em> out by the contribution of the surface integral over this face for the adjacent cube. As with Green's theorem, this means for a cubic partition, that only the contribution over the boundary is needed to compute the boundary integral. In formulas, if <span class="math">$V$</span> is a <span class="math">$3$</span> dimensional cubic region with boundary <span class="math">$S$</span> and it is partitioned into smaller cubic subregions, <span class="math">$V_i$</span> with surfaces <span class="math">$S_i$</span>, we have:</p>
<p class="math">\[
~
\oint_S F\cdot{N} dA = \sum \oint_{S_i} F\cdot{N} dA.
~
\]</p>
<p>If the partition provides a microscopic perspective, then the divergence approximation <span class="math">$\nabla\cdot{F} \approx (1/\Delta{V_i}) \oint_{S_i} F\cdot{N} dA$</span> can be used to say:</p>
<p class="math">\[
~
\oint_S F\cdot{N} dA =
\sum \oint_{S_i} F\cdot{N} dA \approx
\sum (\nabla\cdot{F})\Delta{V_i} \approx
\iiint_V \nabla\cdot{F} dV,
~
\]</p>
<p>the last approximation through a Riemann sum approximation. This heuristic leads to:</p>
<blockquote>
<p>The divergence theorem. Suppose <span class="math">$V$</span> is a <span class="math">$3$</span>-dimensional volume which is bounded (compact) and has a boundary, <span class="math">$S$</span>, that is piecewise smooth. If <span class="math">$F$</span> is a continuously differentiable vector field defined on an open set containing <span class="math">$V$</span>, then: <span class="math">$~ \iiint_V (\nabla\cdot{F}) dV = \oint_S (F\cdot\hat{N})dS. ~$</span></p>
</blockquote>
<p>That is, the volume integral of the divergence can be computed from the flux integral over the boundary of <span class="math">$V$</span>.</p>
<h3>Examples</h3>
<h5>Example</h5>
<p>Verify the divergence theorem for the vector field <span class="math">$F(x,y,z) = \langle xy, yz, zx\rangle$</span> for the cubic box centered at the origin with side lengths <span class="math">$2$</span>.</p>
<p>We need to compute two terms and show they are equal. We begin with the volume integral:</p>
<pre class='hljl'>
<span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-n'>x</span><span class='hljl-oB'>*</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>y</span><span class='hljl-oB'>*</span><span class='hljl-n'>z</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>z</span><span class='hljl-oB'>*</span><span class='hljl-n'>x</span><span class='hljl-p'>]</span><span class='hljl-t'>
</span><span class='hljl-nd'>@vars</span><span class='hljl-t'> </span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-n'>y</span><span class='hljl-t'> </span><span class='hljl-n'>z</span><span class='hljl-t'> </span><span class='hljl-n'>real</span><span class='hljl-oB'>=</span><span class='hljl-kc'>true</span><span class='hljl-t'>
</span><span class='hljl-n'>DivF</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>divergence</span><span class='hljl-p'>(</span><span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>])</span><span class='hljl-t'>
</span><span class='hljl-nf'>integrate</span><span class='hljl-p'>(</span><span class='hljl-n'>DivF</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-ni'>1</span><span class='hljl-p'>,</span><span class='hljl-ni'>1</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-oB'>-</span><span class='hljl-ni'>1</span><span class='hljl-p'>,</span><span class='hljl-ni'>1</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>z</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-ni'>1</span><span class='hljl-p'>,</span><span class='hljl-ni'>1</span><span class='hljl-p'>))</span>
</pre>
<div class="well well-sm">\begin{equation*}0\end{equation*}</div>
<p>The total integral is <span class="math">$0$</span> by symmetry, not due to the divergence being <span class="math">$0$</span>, as it is <span class="math">$x+y+z$</span>.</p>
<p>As for the surface integral, we have <span class="math">$6$</span> sides to consider. We take the sides with <span class="math">$\hat{N}$</span> being <span class="math">$\pm\hat{i}$</span>:</p>
<pre class='hljl'>
<span class='hljl-n'>Nhat</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-ni'>1</span><span class='hljl-p'>,</span><span class='hljl-ni'>0</span><span class='hljl-p'>,</span><span class='hljl-ni'>0</span><span class='hljl-p'>]</span><span class='hljl-t'>
</span><span class='hljl-nf'>integrate</span><span class='hljl-p'>((</span><span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>⋅</span><span class='hljl-t'> </span><span class='hljl-n'>Nhat</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-ni'>1</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>1</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>z</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-ni'>1</span><span class='hljl-p'>,</span><span class='hljl-ni'>1</span><span class='hljl-p'>))</span><span class='hljl-t'> </span><span class='hljl-cs'># at x=1</span>
</pre>
<div class="well well-sm">\begin{equation*}0\end{equation*}</div>
<p>In fact, all <span class="math">$6$</span> sides will be <span class="math">$0$</span>, as in this case <span class="math">$F \cdot \hat{i} = xy$</span> and at <span class="math">$x=1$</span> the surface integral is just <span class="math">$\int_{-1}^1\int_{-1}^1 y dy dz = 0$</span>, as <span class="math">$y$</span> is an odd function.</p>
<p>As such, the two sides of the Divergence theorem are both <span class="math">$0$</span>, so the theorem is verified.</p>
<h6>Example</h6>
<p>(From Strang) If the temperature inside the sun is <span class="math">$T = \log(1/\rho)$</span> find the <em>heat</em> flow <span class="math">$F=-\nabla{T}$</span>; the source, <span class="math">$\nabla\cdot{F}$</span>; and the flux, <span class="math">$\iint F\cdot\hat{N}dS$</span>. Model the sun as a ball of radius <span class="math">$\rho_0$</span>.</p>
<p>We have the heat flow is simply:</p>
<pre class='hljl'>
<span class='hljl-nd'>@vars</span><span class='hljl-t'> </span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-n'>y</span><span class='hljl-t'> </span><span class='hljl-n'>z</span><span class='hljl-t'> </span><span class='hljl-n'>real</span><span class='hljl-oB'>=</span><span class='hljl-kc'>true</span><span class='hljl-t'>
</span><span class='hljl-nf'>R</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>norm</span><span class='hljl-p'>([</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>])</span><span class='hljl-t'>
</span><span class='hljl-nf'>T</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>log</span><span class='hljl-p'>(</span><span class='hljl-ni'>1</span><span class='hljl-oB'>/</span><span class='hljl-nf'>R</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>))</span><span class='hljl-t'>
</span><span class='hljl-n'>HeatFlow</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-n'>diff</span><span class='hljl-oB'>.</span><span class='hljl-p'>(</span><span class='hljl-nf'>T</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>])</span>
</pre>
<div class="well well-sm">\[ \left[ \begin{array}{r}\frac{x}{x^{2} + y^{2} + z^{2}}\\\frac{y}{x^{2} + y^{2} + z^{2}}\\\frac{z}{x^{2} + y^{2} + z^{2}}\end{array} \right] \]</div>
<p>We may recognize this as <span class="math">$\rho/\|\rho\|^2 = \hat{\rho}/\|\rho\|$</span>.</p>
<p>The source is</p>
<pre class='hljl'>
<span class='hljl-n'>DivF</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>divergence</span><span class='hljl-p'>(</span><span class='hljl-n'>HeatFlow</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>])</span><span class='hljl-t'> </span><span class='hljl-oB'>|></span><span class='hljl-t'> </span><span class='hljl-n'>simplify</span>
</pre>
<div class="well well-sm">\begin{equation*}\frac{1}{x^{2} + y^{2} + z^{2}}\end{equation*}</div>
<p>Which would simplify to <span class="math">$1/\rho^2$</span>.</p>
<p>Finally, the surface integral over the surface of the sun is an integral over a sphere of radius <span class="math">$\rho_0$</span>. We could use spherical coordinates to compute this, but note instead that the normal is <span class="math">$\hat{\rho}$</span> so, <span class="math">$F \cdot \hat{N} = 1/\rho = 1/\rho_0$</span> over this surface. So the surface integral is simple the surface area times <span class="math">$1/\rho_0$</span>: <span class="math">$4\pi\rho_0^2/\rho_0 = 4\pi\rho_0$</span>.</p>
<p>Finally, though <span class="math">$F$</span> is not continuous at the origin, the divergence theorem's result holds. Using spherical coordinates we have:</p>
<pre class='hljl'>
<span class='hljl-nd'>@vars</span><span class='hljl-t'> </span><span class='hljl-n'>rho</span><span class='hljl-t'> </span><span class='hljl-n'>rho_0</span><span class='hljl-t'> </span><span class='hljl-n'>phi</span><span class='hljl-t'> </span><span class='hljl-n'>theta</span><span class='hljl-t'> </span><span class='hljl-n'>real</span><span class='hljl-oB'>=</span><span class='hljl-kc'>true</span><span class='hljl-t'>
</span><span class='hljl-n'>Jac</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>rho</span><span class='hljl-oB'>^</span><span class='hljl-ni'>2</span><span class='hljl-t'> </span><span class='hljl-oB'>*</span><span class='hljl-t'> </span><span class='hljl-nf'>sin</span><span class='hljl-p'>(</span><span class='hljl-n'>phi</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-nf'>integrate</span><span class='hljl-p'>(</span><span class='hljl-ni'>1</span><span class='hljl-oB'>/</span><span class='hljl-n'>rho</span><span class='hljl-oB'>^</span><span class='hljl-ni'>2</span><span class='hljl-t'> </span><span class='hljl-oB'>*</span><span class='hljl-t'> </span><span class='hljl-n'>Jac</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>rho</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>0</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>rho_0</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>theta</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>0</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-n'>PI</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>phi</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>0</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>PI</span><span class='hljl-p'>))</span>
</pre>
<div class="well well-sm">\begin{equation*}4 \pi \rho_{0}\end{equation*}</div>
<h5>Example: Continuity equation (Schey)</h5>
<p>Imagine a venue with a strict cap on the number of persons at one time. Two ways to monitor this are: at given times, a count, or census, of all the people in the venue can be made. Or, when possible, a count of people coming in can be compared to a count of people coming out and the difference should yield the number within. Either works well when access is limited and the venue small, but the latter can also work well on a larger scale. For example, for the subway system of New York it would be impractical to attempt to count all the people at a given time using a census, but from turnstile data an accurate count can be had, as turnstiles can be used to track people coming in and going out. But turnstiles can be restricting and cause long(ish) lines. At some stores, new technology is allowing checkout-free shopping. Imagine if each customer had an app on their phone that can be used to track location. As they enter a store, they can be recorded, as they exit they can be recorded and if RFID tags are on each item in the store, their "purchases" can be tallied up and billed through the app. (As an added bonus to paying fewer cashiers, stores can also track on a step-by-step basis how a customer interacts with the store.) In any of these three scenarios, a simple thing applies: the total number of people in a confined region can be counted by counting how many crossed the boundary (and in which direction) and the change in time of the count can be related to the change in time of the people crossing.</p>
<p>For a more real world example, the <a href=" https://www.nytimes.com/interactive/2019/07/03/world/asia/hong-kong-protest-crowd-ai.html">New York Times</a> ran an article about estimating the size of a large protest in Hong Kong:</p>
<blockquote>
<p>Crowd estimates for Hong Kong’s large pro-democracy protests have been a point of contention for years. The organizers and the police often release vastly divergent estimates. This year’s annual pro-democracy protest on Monday, July 1, was no different. Organizers announced 550,000 people attended; the police said 190,000 people were there at the peak.</p>
</blockquote>
<blockquote>
<p>But for the first time in the march’s history, a group of researchers combined artificial intelligence and manual counting techniques to estimate the size of the crowd, concluding that 265,000 people marched.</p>
</blockquote>
<blockquote>
<p>On Monday, the A.I. team attached seven iPads to two major footbridges along the march route. Volunteers doing manual counts were also stationed next to the cameras, to help verify the computer count.</p>
</blockquote>
<p>The article describes some issues in counting such a large group:</p>
<blockquote>
<p>The high density of the crowd and the moving nature of these protests make estimating the turnout very challenging. For more than a decade, groups have stationed teams along the route and manually counted the rate of people passing through to derive the total number of participants.</p>
</blockquote>
<p>As there are no turnstiles to do an accurate count and too many points to come and go, this technique can be too approximate. The article describes how artificial intelligence was used to count the participants. The Times tried their own hand:</p>
<blockquote>
<p>Analyzing a short video clip recorded on Monday, The Times’s model tried to detect people based on color and shape, and then tracked the figures as they moved across the screen. This method helps avoid double counting because the crowd generally flowed in one direction.</p>
</blockquote>
<p>The divergence theorem provides two means to compute a value, the point here is to illustrate that there are (at least) two possible ways to compute crowd size. Which is better depends on the situation.</p>
<hr />
<p>Following Schey, we now consider a continuous analog to the crowd counting problem through a flow with a non-uniform density that may vary in time. Let <span class="math">$\rho(x,y,z;t)$</span> be the time-varying density and <span class="math">$v(x,y,z;t)$</span> be a vector field indicating the direction of flow. Consider some three-dimensional volume, <span class="math">$V$</span>, with boundary <span class="math">$S$</span> (though two-dimensional would also be applicable). Then these integrals have interpretations:</p>
<p class="math">\[
~
\begin{align}
\iiint_V \rho dV &&\quad\text{Amount contained within }V\\
\frac{\partial}{\partial{t}} \iiint_V \rho dV &=
\iiint_V \frac{\partial{\rho}}{\partial{t}} dV &\quad\text{Change in time of amount contained within }V
\end{align}
~
\]</p>
<p>Moving the derivative inside the integral requires an assumption of continuity. Assume the material is <em>conserved</em>, meaning that if the amount in the volume <span class="math">$V$</span> changes it must flow in and out through the boundary. The flow out through <span class="math">$S$</span>, the boundary of <span class="math">$V$</span>, is</p>
<p class="math">\[
~
\oint_S (\rho v)\cdot\hat{N} dS,
~
\]</p>
<p>using the customary outward pointing normal for the orientation of <span class="math">$S$</span>.</p>
<p>So we have:</p>
<p class="math">\[
~
\iiint_V \frac{\partial{\rho}}{\partial{t}} dV =
-\oint_S (\rho v)\cdot\hat{N} dS = - \iiint_V \nabla\cdot\left(\rho v\right)dV.
~
\]</p>
<p>The last equality by the divergence theorem, the minus sign as a positive change in amount within <span class="math">$V$</span> means flow <em>opposite</em> the outward pointing normal for <span class="math">$S$</span>.</p>
<p>The volume <span class="math">$V$</span> was arbitrary. While it isn't the case that two integrals being equal implies the integrands are equal, it is the case that if the two integrals are equal for all volumes and the two integrands are continuous, then they are equal.</p>
<p>That is, under the <em>assumptions</em> that material is conserved and density is continuous a continuity equation can be derived from the divergence theorem:</p>
<p class="math">\[
~
\nabla\cdot(\rho v) = - \frac{\partial{\rho}}{dt}.
~
\]</p>
<h5>Example: The divergence theorem can fail to apply</h5>
<p>The assumption of the divergence theorem that the vector field by <em>continuously</em> differentiable is important, as otherwise it may not hold. With <span class="math">$R(x,y,z) = \langle x,y,z\rangle$</span> take for example <span class="math">$F = (R/\|R\|) / \|R\|^2)$</span>. This has divergence</p>
<pre class='hljl'>
<span class='hljl-nf'>R</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>]</span><span class='hljl-t'>
</span><span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>R</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>/</span><span class='hljl-t'> </span><span class='hljl-nf'>norm</span><span class='hljl-p'>(</span><span class='hljl-nf'>R</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>))</span><span class='hljl-oB'>^</span><span class='hljl-ni'>3</span><span class='hljl-t'>
</span><span class='hljl-nd'>@vars</span><span class='hljl-t'> </span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-n'>y</span><span class='hljl-t'> </span><span class='hljl-n'>z</span><span class='hljl-t'> </span><span class='hljl-n'>real</span><span class='hljl-oB'>=</span><span class='hljl-kc'>true</span><span class='hljl-t'>
</span><span class='hljl-nf'>divergence</span><span class='hljl-p'>(</span><span class='hljl-nf'>F</span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>),</span><span class='hljl-t'> </span><span class='hljl-p'>[</span><span class='hljl-n'>x</span><span class='hljl-p'>,</span><span class='hljl-n'>y</span><span class='hljl-p'>,</span><span class='hljl-n'>z</span><span class='hljl-p'>])</span><span class='hljl-t'> </span><span class='hljl-oB'>|></span><span class='hljl-t'> </span><span class='hljl-n'>simplify</span>
</pre>
<div class="well well-sm">\begin{equation*}0\end{equation*}</div>
<p>The simplification done by SymPy masks the presence of <span class="math">$R^{-5/2}$</span> when taking the partial derivatives, which means the field is <em>not</em> continuously differentiable at the origin.</p>
<p><em>Were</em> the divergence theorem applicable, then the integral of <span class="math">$F$</span> over the unit sphere would mean:</p>
<p class="math">\[
~
0 = \iiint_V \nabla\cdot{F} dV =
\oint_S F\cdot{N}dS = \oint_S \frac{R}{\|R\|^3} \cdot{R} dS =
\oint_S 1 dS = 4\pi.
~
\]</p>
<p>Clearly, as <span class="math">$0$</span> is not equal to <span class="math">$4\pi$</span>, the divergence theorem can not apply.</p>
<p>However, it <em>does</em> apply to any volume not enclosing the origin. So without any calculation, if <span class="math">$V$</span> were shifted over by <span class="math">$2$</span> units the volume integral over <span class="math">$V$</span> would be <span class="math">$0$</span> and the surface integral over <span class="math">$S$</span> would be also.</p>
<p>As already seen, the inverse square law here arises in the electrostatic force formula, and this same observation was made in the context of Gauss's law.</p>
<h2>Questions</h2>
<h6>Question</h6>
<p>(Schey) What conditions on <span class="math">$F: R^2 \rightarrow R^2$</span> imply <span class="math">$\oint_C F\cdot d\vec{r} = A$</span>? (<span class="math">$A$</span> is the area bounded by the simple, closed curve <span class="math">$C$</span>)</p>
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<label>
<input type="radio" name="radio_b755uVpz" value="1"><div class="markdown"><p>We must have $\text{curl}(F) = x$</p>
</div>
</label>
</div>
<div class="radio">
<label>
<input type="radio" name="radio_b755uVpz" value="2"><div class="markdown"><p>We must have $\text{curl}(F) = 0$</p>
</div>
</label>
</div>
<div class="radio">
<label>
<input type="radio" name="radio_b755uVpz" value="3"><div class="markdown"><p>We must have $\text{curl}(F) = 1$</p>
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</label>
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<h6>Question</h6>
<p>For <span class="math">$C$</span>, a simple, closed curve parameterized by <span class="math">$\vec{r}(t) = \langle x(t), y(t) \rangle$</span>, <span class="math">$a \leq t \leq b$</span>. The area contained can be computed by <span class="math">$\int_a^b x(t) y'(t) dt$</span>. Let <span class="math">$\vec{r}(t) = \sin(t) \cdot \langle \cos(t), \sin(t)\rangle$</span>.</p>
<p>Find the area inside <span class="math">$C$</span></p>
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<h6>Question</h6>
<p>Let <span class="math">$\hat{N} = \langle \cos(t), \sin(t) \rangle$</span> and <span class="math">$\hat{T} = \langle -\sin(t), \cos(t)\rangle$</span>. Then polar coordinates can be viewed as the parametric curve <span class="math">$\vec{r}(t) = r(t) \hat{N}$</span>.</p>
<p>Applying Green's theorem to the vector field <span class="math">$F = \langle -y, x\rangle$</span> which along the curve is <span class="math">$r(t) \hat{T}$</span> we know the area formula <span class="math">$(1/2) (\int xdy - \int y dx)$</span>. What is this in polar coordinates (using <span class="math">$\theta=t$</span>?) (Using <span class="math">$(r\hat{N}' = r'\hat{N} + r \hat{N}' = r'\hat{N} +r\hat{T}$</span> is useful.)</p>
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<input type="radio" name="radio_y94qS83n" value="3"><div class="markdown">$\int r^2 d\theta$
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</label>
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<input type="radio" name="radio_y94qS83n" value="4"><div class="markdown">$(1/2) \int r^2d\theta$
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