The properties of solutions to the dissipative 2-component Camassa-Holm system

被引：1
|
作者：
Ming, Sen [1 ]
Yang, Han [1 ]
Chen, Zili [1 ]
Yong, Ls [2 ]
机构：
[1] Southwest Jiaotong Univ, Dept Math, Chengdu 610031, Peoples R China
[2] Southwest Univ Finance & Econ, Dept Math, Chengdu 611130, Peoples R China
来源：
APPLICABLE ANALYSIS | 2016年 / 95卷 / 06期
基金：
中国国家自然科学基金;
关键词：
35Q58; 35L15; 35G25; local well-posedness; dissipative 2-component Camassa-Holm system; blow-up; infinite propagation speed; global solution; SHALLOW-WATER EQUATION; WAVE-BREAKING; PERSISTENCE PROPERTIES; WELL-POSEDNESS; FAMILY; TRAJECTORIES; STABILITY; EXISTENCE;
D O I：
10.1080/00036811.2015.1055557
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The local well-posedness for the Cauchy problem of the dissipative 2-component Camassa-Holm system is established by using the Littlewood-Paley theory and a priori estimates of solutions to the transport equation. The blow-up results, the exact blow-up rate, and the global existence of solutions to the system are analyzed. Moreover, the infinite propagation speed of solutions is investigated. The novelty in this paper is that the effects of the diffusion coefficient [GRAPHICS] and dissipative coefficient [GRAPHICS] to the solutions are given in an apparent form.
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页码：1165 / 1183
页数：19
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