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单词 Burgers Equation
释义

Burgers Equation

英语百科

Burgers' equation

This is a numerical solution of the viscous two dimensional Burgers equation using an initial Gaussian profile. We see shock formation, and dissipation of the shock due to viscosity as it travels.

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

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更新时间:2025/6/19 6:58:37