Local-in-Space Blow-up for a Weakly Dissipative Generalized Two-Component Camassa-Holm System

被引：1
|
作者：
Cheng, Wenguang [1 ,2 ]
机构：
[1] Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China
[2] Yuxi Normal Univ, Dept Math, Yuxi 653100, Peoples R China
来源：
JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2022年 / 24卷 / 01期
关键词：
Weakly dissipative generalized two-component Camassa-Holm system; Local-in-space blow-up; Convolution estimates; SHALLOW-WATER EQUATION; GLOBAL EXISTENCE; WELL-POSEDNESS; WAVE-BREAKING; GEODESIC-FLOW; DIFFEOMORPHISM GROUP; DEGASPERIS-PROCESI; CRITERIA; DECAY; MODEL;
D O I：
10.1007/s00021-021-00642-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the blow-up issue of a weakly dissipative generalized two-component Camassa-Holm system. We establish a local-in-space blow-up result for strong solutions to this system by the method of characteristics, convolution estimates and precise analysis for the terms with dissipative coefficient lambda. Furthermore, for a weaker assumption on rho(0)(x), we also derive another type of blow-up result.
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页数：12
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