Conservation laws with vanishing nonlinear diffusion and dispersion

Details Conservation laws with vanishing nonlinear diffusion and dispersion Conservation laws with vanishing nonlinear diffusion and dispersion

2007-11-02

arxiv.org/abs/0711.0411v1

Nonlinear Analysis 36 (1999), 213--230

Mathematics

Analysis of PDEs

18 pages

Scientific paper

We study the limiting behavior of the solutions to a class of conservation laws with vanishing nonlinear diffusion and dispersion terms. We prove the convergence to the entropy solution of the first order problem under a condition on the relative size of the diffusion and the dispersion terms. This work is motivated by the pseudo-viscosity approximation introduced by Von Neumann in the 50's.

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