LINEAR AND NONLINEAR EXPONENTIAL STABILITY OF TRAVELING WAVES FOR HYPERBOLIC SYSTEMS WITH RELAXATION

被引：0

作者：

Li, Tong ^{[1
,2
]}

Wu, Yaping ^{[1
]}

机构：

[1] Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2009年 / 7卷 / 03期

关键词：

Exponential stability; traveling waves; quasi-linear hyperbolic systems; Jin-Xin relaxation models; spectal analysis; weighted spaces; ASYMPTOTIC STABILITY; CONSERVATION-LAWS; NONCONVEX RELAXATION; SOLITARY WAVES; SHOCK PROFILES; MODEL; DIFFUSION; DECAY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the linear and nonlinear exponential stability of traveling wave solutions for a system of quasi-linear hyperbolic equations with relaxation. By applying C-0-semigroup theory and detailed spectral analysis, we prove the linear exponential stability of the traveling waves for the quasilinear systems and nonlinear exponential stability of the waves for semilinear systems, i.e., the Jin-Xin relaxation models, in some exponentially weighted spaces without assuming that the wave strengths are small.

引用

页码：571 / 593

页数：23

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