CAUCHY PROBLEM FOR A GENERALIZED WEAKLY DISSIPATIVE PERIODIC TWO-COMPONENT CAMASSA-HOLM SYSTEM

被引：0

作者：

Chen, Wenxia ^{[1
]}

Tian, Lixin ^{[1
]}

Deng, Xiaoyan ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Wave-breaking; weakly dissipative; blow-up rate; periodic two-component Camassa-Holm equation; global solution; BLOW-UP PHENOMENA; GLOBAL CONSERVATIVE SOLUTIONS; WAVE-BREAKING; EXISTENCE; TRAJECTORIES; PROPAGATION; EQUATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study a generalized weakly dissipative periodic two-component Camassa-Holm system. We show that this system can exhibit the wave-breaking phenomenon and determine the exact blow-up rate of strong solution to the system. In addition, we establish a sufficient condition for having a global solution.

引用

页数：19

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