Burgers' equation is a fundamental partial differential equation in fluid mechanics and mathematics. It is named after the Dutch physicist Johannes Burgers, who introduced it in his study of turbulence and other fluid dynamics phenomena. The equation can be seen as a simplification of the Navier-Stokes equations, which govern fluid motion.
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The one-dimensional equation combines nonlinear transport with diffusion. Positive gives the viscous Burgers equation; setting gives the Inviscid Burgers equation.