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
收藏
页码：217 / 235
页数：19
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