Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation

被引：0

作者：

Mi, Yongsheng ^{[1
,2
]}

Mu, Chunlai ^{[2
]}

机构：

[1] Yangtze Normal Univ, Coll Math & Comp Sci, Fuling 408100, Peoples R China

[2] Chongqing Univ, Coll Math & Stat, Chongqing 400044, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2013年

关键词：

SHALLOW-WATER SYSTEM; WAVE BREAKING; CONSERVATIVE SOLUTIONS; GLOBAL EXISTENCE;

D O I：

10.1155/2013/547261

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Cauchy problem of a weakly dissipative modified two-component Camassa-Holm equation. We firstly establish the local well-posedness result. Then we present a precise blow-up scenario. Moreover, we obtain several blow-up results and the blow-up rate of strong solutions. Finally, we consider the asymptotic behavior of solutions.

引用

页数：11

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