ON A PERIODIC 2-COMPONENT CAMASSA-HOLM EQUATION WITH VORTICITY

被引：1

作者：

Hu, Qiaoyi ^{[1
]}

机构：

[1] S China Agr Univ, Dept Math, Guangzhou 510642, Guangdong, Peoples R China

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2011年 / 18卷 / 04期

关键词：

A periodic 2-component Camassa-Holm equation; vorticity; global existence; blow-up; blow-up rate; BLOW-UP PHENOMENA; GLOBAL CONSERVATIVE SOLUTIONS; SHALLOW-WATER EQUATION; WELL-POSEDNESS; WEAK SOLUTIONS; DISSIPATIVE SOLUTIONS; MULTIPEAKON SOLUTIONS; CAUCHY-PROBLEM; WAVE-BREAKING; EXISTENCE;

D O I：

10.1142/S1402925111001787

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a periodic 2-component Camassa-Holm equation with vorticity in the paper. We first give the local well-posedness and the blow-up criterion for strong solutions to the equation in the Sobolev space H-s, s > 3/2. We then present a global existence result for strong solutions to the equation. We finally obtain several blow-up results and the blow-up rate of strong solutions to the equation. The obtained results cover and improve the earlier results for a periodic 2-component Camssa-Holm equation without vorticity.

引用

页码：541 / 556

页数：16

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