Preprint 1998-028

Stability of Viscous Shock Waves Associated with Non-Convex Modes

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, mailto:fries@instmath.rwth-aachen.de

Publishing information:

Comments:

Revised version, September 18 1998.

Submitted by:

mailto:fries@instmath.rwth-aachen.de August 10 1998.