BLOW-UP FOR TWO-COMPONENT CAMASSA-HOLM EQUATION WITH GENERALIZED WEAK DISSIPATION

被引：1
|
作者：
Chen, Wenxia [1 ]
Liu, Jingyi [1 ]
Ding, Danping [1 ]
Tian, Lixin [2 ]
机构：
[1] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2020年 / 19卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Two-component Camassa-Holm equation; local well-posedness; blow-up; monotonicity; blow-up point set; SHALLOW-WATER EQUATION; WELL-POSEDNESS; GLOBAL EXISTENCE; BREAKING WAVES;
D O I：
10.3934/cpaa.2020166
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with blow-up solution for the Cauchy problem of two-component Camassa-Holm equation with generalized weak dissipation. By Kato's theorem and monotonicity, we investigate the local well-posedness of Cauchy problem and establish the blow-up criteria and the blow-up rate. Moreover, the property of blow-up points set is characterized.
引用
收藏
页码：3769 / 3784
页数：16
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