Gauss's Divergence theorem is one of the most powerful tools in all of mathematical physics. It is the primary building block of how we derive conservation laws from physics and translate them into partial differential equations.
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This video was produced at the University of Washington
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0:00 Introduction & Overview
8:55 Why Gauss's Theorem is True
14:38 Gauss's Theorem for PDEs: Mass Conservation
24:11 Recap