STABILITY OF TRAVELING WAVE SOLUTIONS TO CAUCHY PROBLEM OF DIAGNOLIZABLE QUASILINEAR HYPERBOLIC SYSTEMS

被引：6

作者：

Liu, Cunming ^{[1
]}

Liu, Jianli ^{[2
]}

机构：

[1] Taiyuan Uni Technol, Sch Math, Shanxi 030024, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2014年 / 34卷 / 11期

基金：

美国国家科学基金会;

关键词：

GLOBAL CLASSICAL-SOLUTIONS; ASYMPTOTIC-BEHAVIOR; EXISTENCE; EQUATION;

D O I：

10.3934/dcds.2014.34.4735

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the existence and stability of traveling wave solutions to Cauchy problem of diagonalizable quasilinear hyperbolic systems. Under the appropriate small oscillation assumptions on the initial traveling waves, we derive the stability result of the traveling wave solutions, especially for intermediate traveling waves. As the important examples, we ill apply the results to some systems arising in fluid dynamics and elementary particle physics.

引用

页码：4735 / 4749

页数：15

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