Well-posedness and blow-up for a modified two-component Camassa-Holm equation

被引：4
|
作者：
Yu, Shengqi [1 ]
机构：
[1] Nantong Univ, Sch Sci, Nantong 226007, Peoples R China
来源：
APPLICABLE ANALYSIS | 2012年 / 91卷 / 07期
关键词：
modified two-component Camassa-Holm equation; local well-posedness; blow up; SHALLOW-WATER EQUATION; GLOBAL EXISTENCE; BREAKING WAVES; WEAK SOLUTIONS; CAUCHY-PROBLEM; SYSTEM;
D O I：
10.1080/00036811.2011.569495
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider a newly modified two-component Camassa-Holm equation. First, we establish the local well-posedness result, then we present a precise blow-up scenario. Afterwards, we derive a new conservation law, by which and the precise blow-up scenario we prove three blow-up results and a blow-up rate estimate result.
引用
收藏
页码：1321 / 1337
页数：17
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