Nonlinear stability of stationary discrete shocks for nonconvex scalar conservation laws

被引：4
|
作者：
Liu, HL [1 ]
Wang, JH [1 ]
机构：
[1] ACAD SINICA,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA
来源：
MATHEMATICS OF COMPUTATION | 1996年 / 65卷 / 215期
关键词：
stability; discrete shocks; Lax-Friedrichs scheme;
D O I：
10.1090/S0025-5718-96-00733-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is to study the asymptotic stability of stationary discrete shocks for the Lax-Friedrichs scheme approximating nonconvex scalar conservation laws, provided that the summations of the initial perturbations equal to zero. The result is proved by using a weighted energy method based on the nonconvexity. Moreover, the II stability is also obtained. The key points of our proofs are to choose a suitable weight function.
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页码：1137 / 1153
页数：17
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