### 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.

Paper:
Available as PostScript.
Title:
Stability of viscous shock waves associated with non-convex modes
Author(s):
Christian Fries, <fries@instmath.rwth-aachen.de>
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