Global existence and blow-up phenomena for the weakly dissipative Camassa-Holm equation

被引：73

作者：

Wu, Shuyin ^{[2
]}

Yin, Zhaoyang ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

[2] Yunnan Normal Univ, Sch Math, Kunming 650092, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 11期

关键词：

Weakly dissipative Camassa-Holm equation; Global existence; Blow-up; BOUNDARY VALUE-PROBLEMS; SHALLOW-WATER EQUATION; WELL-POSEDNESS; BREAKING WAVES; SCATTERING; STABILITY;

D O I：

10.1016/j.jde.2008.12.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with global existence and blow-up phenomena for the weakly dissipative Camassa-Holm equation. A new global existence result and a new blow-up result for strong solutions to the equation with certain profiles are presented. The obtained results improve considerable the previous results. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：4309 / 4321

页数：13

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