The spatially periodic Cauchy problem for a generalized two-component μ-Camassa-Holm system

被引：2

作者：

Yu, Shengqi ^{[1
]}

机构：

[1] Nantong Univ, Sch Sci, Nantong 226007, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2014年 / 19卷

关键词：

Generalized mu-Camassa-Holm system; Wave breaking; Blow-up; Global existence; WAVE-BREAKING; GLOBAL EXISTENCE; BLOW-UP; GEOMETRY;

D O I：

10.1016/j.nonrwa.2014.03.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Considered herein is the Cauchy problem of a generalized two-component mu-Camassa-Holm (mu-CH) system in the periodic setting. After the local well-posedness result is established, we first obtain a wave breaking criterion for solutions. Based on which, several blow-up data and blow up rate for strong solutions are also provided afterwards. Finally, a sufficient condition guaranteeing the global existence of strong solutions is determined. (C) 2014 Elsevier Ltd. All rights reserved.

引用

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页码：117 / 134

页数：18

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