Blow-up for the weakly dissipative generalized Camassa-Holm equation

被引：2

作者：

Guo, Yantao ^{[1
,2
]}

Tang, Yanbin ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

[2] Xuchang Univ, Sch Math & Stat, Xuchang 461000, Henan, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

generalized Camassa-Holm equation; weak dissipativity; blow-up; global existence; SHALLOW-WATER EQUATION; NOVIKOV EQUATION; BREAKING WAVES; EXISTENCE;

D O I：

10.1186/1029-242X-2014-514

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main goal of this paper is to investigate the blow-up phenomena of solutions to a weakly dissipative generalized Camassa-Holm equation, which contains higher power nonlinear dispersion terms and a convection term. We give a sufficient condition on the initial data such that the strong solution blows up at a finite time, and then we establish an estimate of the blow-up time. Finally, we give a global existence result of the strong solution.

引用

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页数：15

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