Conservation Laws with Vanishing 
Nonlinear Diffusion and Dispersion

    P.G.Le Floch
    R.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. 

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