NONLINEAR STABILITY OF STATIONARY DISCRETE SHOCKS FOR NONCONVEX SCALAR CONSERVATION-LAWS

Authors
LIU HL WANG JH
Citation
Hl. Liu et Jh. Wang, NONLINEAR STABILITY OF STATIONARY DISCRETE SHOCKS FOR NONCONVEX SCALAR CONSERVATION-LAWS, Mathematics of computation, 65(215), 1996, pp. 1137-1153
Citations number
29
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematics of computation → ACNP
ISSN journal
00255718
Volume
65
Issue
215
Year of publication
1996
Pages
1137 - 1153
Database
ISI
SICI code
0025-5718(1996)65:215<1137:NSOSDS>2.0.ZU;2-P
Abstract
This paper is to study the asymptotic stability of stationary discrete shocks for the Lax-Friedrichs scheme approximating nonconvex scalar c onservation laws, provided that the summations of the initial perturba tions equal to zero. The result is proved by using a weighted energy m ethod based on the nonconvexity. Moreover, the II stability is also ob tained. The key points of our proofs are to choose a suitable weight f unction.