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

被引：0
作者：
Yantao Guo
Yanbin Tang
机构：
[1] Huazhong University of Science and Technology,School of Mathematics and Statistics
[2] Xuchang University,School of Mathematics and Statistics
来源：
Journal of Inequalities and Applications | / 2014卷
关键词：
generalized Camassa-Holm equation; weak dissipativity; blow-up; global existence;
D O I：
暂无
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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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