Conservation Laws with Vanishing Nonlinear Diffusion and Dispersion
Philippe Le Floch and Roberto Natalini
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.
- Available as PostScript
- Conservation Laws with Vanishing Nonlinear Diffusion and Dispersion
- Philippe Le Floch
- Roberto Natalini
- Publishing information:
- Quaderno IAC n. 14, Aprile 1995
- Submitted by:
July 2 1996.
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