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.
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页数：16
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