NONLINEAR STABILITY OF OVERCOMPRESSIVE SHOCK-WAVES IN A ROTATIONALLY INVARIANT SYSTEM OF VISCOUS CONSERVATION-LAWS

Authors
FREISTUHLER H LIU TP
Citation
H. Freistuhler et Tp. Liu, NONLINEAR STABILITY OF OVERCOMPRESSIVE SHOCK-WAVES IN A ROTATIONALLY INVARIANT SYSTEM OF VISCOUS CONSERVATION-LAWS, Communications in Mathematical Physics, 153(1), 1993, pp. 147-158
Citations number
19
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
153
Issue
1
Year of publication
1993
Pages
147 - 158
Database
ISI
SICI code
0010-3616(1993)153:1<147:NSOOSI>2.0.ZU;2-R
Abstract
This paper proves that certain non-classical shock waves in a rotation ally invariant system of viscous conservation laws possess nonlinear l arge-time stability against sufficiently small perturbations. The resu lt applies to small intermediate magnetohydrodynamic shocks in the pre sence of dissipation.