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arXiv · 0711.0411

Conservation laws with vanishing nonlinear diffusion and dispersion

Philippe G. LeFloch·Roberto Natalini
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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.

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Philippe G. LeFloch, Roberto Natalini. 2007-11-02. Conservation laws with vanishing nonlinear diffusion and dispersion. https://arxiv.org/abs/0711.0411

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