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

下载

页码：3769 / 3784

页数：16

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