Well-posedness and blow-up phenomena for a periodic two-component Camassa Holm equation

被引：22

作者：

Hu, Qiaoyi ^{[1
,2
]}

Yin, Zhaoyang ^{[2
]}

机构：

[1] S China Agr Univ, Dept Math, Guangzhou 510642, Guangdong, Peoples R China

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

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2011年 / 141卷

关键词：

SHALLOW-WATER EQUATION; DISPERSIVE WAVE-EQUATION; BREAKING; CIRCLE;

D O I：

10.1017/S0308210509001218

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the local well-posedness for a periodic two-component Camassa-Holm equation. We then present precise blow-up scenarios. Finally, we obtain several blow-up results and the blow-up rate of strong solutions to the equation.

引用

页码：93 / 107

页数：15

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