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.

引用

页码：1137 / 1153

页数：17

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