Preprint 1998-028

Stability of Viscous Shock Waves Associated with Non-Convex Modes

Christian Fries

Abstract: In this paper we prove the time asymptotic stability of viscous shock profiles under perturbations of non-vanishing mass, where the profile is associated with a non-convex mode (i.e.~with a not necessarily monotone eigenvalue $\lambda$). We thus extend the result of Szepessy & Xin to the case of non-convex modes.

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Stability of viscous shock waves associated with non-convex modes
Christian Fries, <>
Publishing information:
Revised version, September 18 1998.
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<> August 10 1998.

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