Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation

被引：13

作者：

Hu, Qiaoyi ^{[1
,2
]}

Yin, Zhaoyang ^{[1
]}

机构：

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

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

来源：

MONATSHEFTE FUR MATHEMATIK | 2012年 / 165卷 / 02期

关键词：

A periodic 2-component Camassa-Holm equation; Global existence; Blow-up; Blow-up rate; SHALLOW-WATER EQUATION; WELL-POSEDNESS; PROPAGATION SPEED; WEAK SOLUTIONS; CAUCHY-PROBLEM; BREAKING;

D O I：

10.1007/s00605-011-0293-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We first establish local well-posedness for a periodic 2-component Camassa-Holm equation. We then present two global existence results for strong solutions to the equation. We finally obtain several blow-up results and the blow-up rate of strong solutions to the equation.

引用

页码：217 / 235

页数：19

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