Asymptotic Behavior of Global Classical Solutions of Quasilinear Non-strictly Hyperbolic Systems with Weakly Linear Degeneracy

被引：0

作者：

Wenrong DAI Department of Mathematics Shanghai Jiao Tong University Shanghai China ^{[200240
]}

机构：

来源：

Chinese Annals of Mathematics | 2006年 / 03期

关键词：

Asymptotic behavior; Characteristic fields with constant multiplicity; Weakly linear degeneracy; Global classical solution; Normalized coordinates; Travelling wave;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

<正>In this paper, we study the asymptotic behavior of global classical solutions of the Cauchy problem for general quasilinear hyperbolic systems with constant multiple and weakly linearly degenerate characteristic fields. Based on the existence of global classical solution proved by Zhou Yi et al., we show that, when t tends to infinity, the solution approaches a combination of C1 travelling wave solutions, provided that the total variation and the L1 norm of initial data are sufficiently small.

引用

页码：263 / 286

页数：24

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