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 ${\displaystyle y(x,t)}$ and diffusion coefficient (or viscosity, as in the original fluid mechanical context) ${\displaystyle d}$, the general form of Burgers' equation (also known as viscous Burgers' equation) in one space dimension is the dissipative system:

Added space-time noise ${\displaystyle \eta (x,t)}$ forms a stochastic Burgers' equation

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