On the Global Dissipative and Multipeakon Dissipative Behavior of the Two-Component Camassa-Holm System

被引：1

作者：

Wang, Yujuan ^{[1
]}

Song, Yongduan ^{[1
]}

Karimi, Hamid Reza ^{[2
]}

机构：

[1] Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R China

[2] Univ Agder, Fac Sci & Engn, Dept Engn, N-4898 Grimstad, Norway

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国国家自然科学基金;

关键词：

SHALLOW-WATER EQUATION; BLOW-UP PHENOMENA; CONSERVATIVE SOLUTIONS; WAVE-BREAKING; EXISTENCE;

D O I：

10.1155/2014/348695

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The global dissipative and multipeakon dissipative behavior of the two-component Camassa-Holm shallow water system after wave breaking was studied in this paper. The underlying approach is based on a skillfully defined characteristic and a set of newly introduced variables which transform the original system into a Lagrangian semilinear system. It is the transformation, together with the associated properties, that allows for the continuity of the solution beyond collision time to be established, leading to a uniquely global dissipative solution, which constructs a semigroup, and the multipeakon dissipative solution.

引用

页数：16

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