Conservation laws with vanishing nonlinear diffusion and dispersion
Analysis of PDEs
2007-11-06 v1 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.0711.0411,
title = {Conservation laws with vanishing nonlinear diffusion and dispersion},
author = {Philippe G. LeFloch and Roberto Natalini},
journal= {arXiv preprint arXiv:0711.0411},
year = {2007}
}
Comments
18 pages