On the Cauchy problem of a periodic 2-component μ-Hunter-Saxton system

被引：11

作者：

Liu, Jingjing ^{[1
]}

Yin, Zhaoyang ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 01期

关键词：

A periodic 2-component mu-Hunter-Saxton system; Blow-up scenario; Blow-up; Strong solutions; Global existence; SHALLOW-WATER EQUATION; CAMASSA-HOLM EQUATION; BLOW-UP; GEOMETRIC APPROACH; BREAKING WAVES; CIRCLE; TRANSFORMATIONS; EXISTENCE; SOLITONS; FIELDS;

D O I：

10.1016/j.na.2011.08.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the Cauchy problem of a periodic 2-component mu-Hunter-Saxton system. We first establish the local well-posedness for the periodic 2-component mu-Hunter-Saxton system by Kato's semigroup theory. Then, we derive the precise blow-up scenario for strong solutions to the system. Moreover, we present some blow-up results for strong solutions to the system. Finally, we give a global existence result to the system. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：131 / 142

页数：12

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