Global weak solutions for a modified two-component Camassa-Holm equation

被引：41

作者：

Guan, Chunxia ^{[1
]}

Yin, Zhaoyang ^{[1
]}

机构：

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

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2011年 / 28卷 / 04期

关键词：

A modified two-component Camassa-Holm equation; Well-posedness; Blow-up scenario; Strong solution; Global weak solution; SHALLOW-WATER EQUATION; BLOW-UP PHENOMENA; WELL-POSEDNESS; CONSERVATIVE SOLUTIONS; DISSIPATIVE SOLUTIONS; BREAKING WAVES; SCATTERING; EXISTENCE; TRAJECTORIES;

D O I：

10.1016/j.anihpc.2011.04.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain the existence of global-in-time weak solutions for the Cauchy problem of a modified two-component Camassa-Holm equation. The global weak solution is obtained as a limit of viscous approximation. The key elements in our analysis are the Helly theorem and some a priori one-sided supernorm and space time higher integrability estimates on the first-order derivatives of approximation solutions. (C) 2011 Elsevier Masson SAS. All riehis reserved.

引用

页码：623 / 641

页数：19

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