GLOBAL EXISTENCE FOR A TWO-COMPONENT CAMASSA HOLM SYSTEM WITH AN ARBITRARY SMOOTH FUNCTION

被引：1
作者：
Zhang, Zeng [1 ]
Yin, Zhaoyang [2 ,3 ]
机构：
[1] Wuhan Univ Technol, Sch Sci, Wuhan 430070, Hubei, Peoples R China
[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
[3] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 11期
关键词：
A two-component Camassa-Holm system; global strong solutions; global weak solutions; SHALLOW-WATER EQUATION; BOUNDARY VALUE-PROBLEMS; BLOW-UP PHENOMENA; CAUCHY-PROBLEM; DISSIPATIVE SOLUTIONS; WELL-POSEDNESS; WEAK SOLUTIONS; WAVE-BREAKING; TRAJECTORIES; ANALYTICITY;
D O I：
10.3934/dcds.2018243
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a two-component integrable Camassa-Holm type system with arbitrary smooth function H. If the function H belongs to a set H (defined in Section 4), then we obtain the existence and uniqueness of global strong solutions and global weak solutions to the system. Our obtained results generalize and improve considerably recent results in [38, 39].
引用
收藏
页码：5523 / 5536
页数：14
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