Preprint 1996-005
Conservation Laws with Vanishing Nonlinear Diffusion and Dispersion
Philippe Le Floch and Roberto Natalini
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
study is closely motivated by the pseudo-viscosity approximation introduced
by Von Neumann in the 50's.
- Paper:
- Available as PostScript
- Title:
- Conservation Laws with Vanishing Nonlinear Diffusion and Dispersion
- Author(s):
- Philippe Le Floch
- Roberto Natalini
<natalini@asterix.iac.rm.cnr.it>
- Publishing information:
- Quaderno IAC n. 14, Aprile 1995
- Submitted by:
-
<natalini@asterix.iac.rm.cnr.it>
July 2 1996.
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Last modified: Tue Jul 2 17:50:22 1996