Burgers' equation


Burgers' equation is a fundamental partial differential equation occurring in various areas of applied mathematics, such as fluid mechanics, nonlinear acoustics, gas dynamics, traffic flow. It is named for Johannes Martinus Burgers (1895–1981).
For a given field and diffusion coefficient (or viscosity, as in the original fluid mechanical context)
, the general form of Burgers' equation (also known as viscous Burgers' equation) in one space dimension is the dissipative system: