Wave breaking for a modified two-component Camassa-Holm system

被引：35
作者：
Guo, Zhengguang [1 ]
Zhu, Mingxuan [2 ]
机构：
[1] Wenzhou Univ, Coll Math & Informat Sci, Wenzhou 325035, Zhejiang, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 03期
关键词：
MCH2; Blow-up; SHALLOW-WATER EQUATION; BLOW-UP; WELL-POSEDNESS; GLOBAL EXISTENCE; CRITERIA; SOLITONS; MODEL;
D O I：
10.1016/j.jde.2011.09.041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish sufficient conditions on the initial data to guarantee blow-up phenomenon for the modified two-component Camassa-Holm (MCH2) system. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：2759 / 2770
页数：12
相关论文
共 39 条
[1]   Global dissipative solutions of the Camassa-Holm equation [J].
Bressan, Alberto ;
Constantin, Adrian .
ANALYSIS AND APPLICATIONS, 2007, 5 (01) :1-27
[2]   Global conservative solutions of the Camassa-Holm equation [J].
Bressan, Alberto ;
Constantin, Adrian .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2007, 183 (02) :215-239
[3]   AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS [J].
CAMASSA, R ;
HOLM, DD .
PHYSICAL REVIEW LETTERS, 1993, 71 (11) :1661-1664
[4]   A two-component generalization of the Camassa-Holm equation and its solutions [J].
Chen, M ;
Liu, SQ ;
Zhang, YJ .
LETTERS IN MATHEMATICAL PHYSICS, 2006, 75 (01) :1-15
[5]  
Constantin A, 2000, COMMUN PUR APPL MATH, V53, P603
[6]   Finite propagation speed for the Camassa-Holm equation [J].
Constantin, A .
JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (02)
[7]  
Constantin A, 1998, COMMUN PUR APPL MATH, V51, P475, DOI 10.1002/(SICI)1097-0312(199805)51:5<475::AID-CPA2>3.0.CO
[8]  
2-5
[9]   Wave breaking for nonlinear nonlocal shallow water equations [J].
Constantin, A ;
Escher, J .
ACTA MATHEMATICA, 1998, 181 (02) :229-243
[10]  
Constantin A, 1999, COMMUN PUR APPL MATH, V52, P949, DOI 10.1002/(SICI)1097-0312(199908)52:8<949::AID-CPA3>3.0.CO
1234