Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system

被引：175

作者：

Guan, Chunxia ^{[1
]}

Yin, Zhaoyang ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 248卷 / 08期

关键词：

Integrable two-component Camassa-Holm; shallow water system; Global existence; Blow-up; Strong solutions; BOUNDARY VALUE-PROBLEMS; WELL-POSEDNESS; BREAKING WAVES; WEAK SOLUTIONS; EQUATION; TRAJECTORIES; STABILITY;

D O I：

10.1016/j.jde.2009.08.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system. A new global existence result and several new blow-up results of strong solutions to the system are presented. Our obtained results for the system are sharp and improve considerably earlier results (C) 2009 Elsevier Inc All rights reserved

引用

页码：2003 / 2014

页数：12

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