Analyzing the dynamics of the forced Burgers equation

Nejib Smaoui

International Journal of Stochastic Analysis, 2000, vol. 13, 1-17

Abstract:

We study numerically the long-time dynamics of a system of reaction-diffusion equations that arise from the viscous forced Burgers equation ( u t + u u x − v u x x = F ) . A nonlinear transformation introduced by Kwak is used to embed the scalar Burgers equation into a system of reaction diffusion equations. The Kwak transformation is used to determine the existence of an inertial manifold for the 2-D Navier-Stokes equation. We show analytically as well as numerically that the two systems have a similar, long-time dynamical, behavior for large viscosity v .

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:679124

DOI: 10.1155/S1048953300000241

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