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.


Paper:
Available as PostScript.
Title:
Stability of viscous shock waves associated with non-convex modes
Author(s):
Christian Fries, <fries@instmath.rwth-aachen.de>
Publishing information:
Comments:
Revised version, September 18 1998.
Submitted by:
<fries@instmath.rwth-aachen.de> August 10 1998.


[ 1996 Preprints | 1997 Preprints | 1998 Preprints | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <conservation@math.ntnu.no>
Last modified: Mon Aug 10 13:05:44 1998