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.
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页数：15
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