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.
mailto:conservation@math.ntnu.no Last modified: Tue Jul 2 17:50:22 1996