Deriving the Heat Equation: A Parabolic Partial Differential Equation for Heat Energy Conservation

In this video we will derive the heat equation, which is a canonical partial differential equation (PDE) in mathematical physics. @eigensteve on Twitter eigensteve.com databookuw.com This video was produced at the University of Washington %%% CHAPTERS %%% 0:00 Overview 3:02 Statement in Words 6:52 Statement in Math 10:30 Heat Flux 16:00 Fourier's Law of Heat Conduction 18:54 The Heat Equation