Blow-up criteria of solutions to a modified two-component Camassa-Holm system

被引：18

作者：

Guo, Zhengguang ^{[1
]}

Zhu, Mingxuan ^{[2
]}

Ni, Lidiao ^{[2
]}

机构：

[1] Wenzhou Univ, Coll Math & Informat Sci, Wenzhou 325035, Zhejiang, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 06期

关键词：

MCH2; system; Blow-up; Optimal constant; SHALLOW-WATER EQUATION; WELL-POSEDNESS; WAVE-BREAKING; GLOBAL EXISTENCE; ROD EQUATION; STABILITY; SOLITONS;

D O I：

10.1016/j.nonrwa.2011.06.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a modified two-component Camassa-Holm (MCH2) system which arises in shallow water theory. We analyze the wave breaking mechanism by establishing some new blow-up criteria for this system formulated either on the line or with space-periodic initial condition. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：3531 / 3540

页数：10

共 34 条

[1] Global conservative solutions of the Camassa-Holm equation [J].

Bressan, Alberto ;

Constantin, Adrian .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2007, 183 (02) :215-239

[2] AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS [J].

CAMASSA, R ;

HOLM, DD .

PHYSICAL REVIEW LETTERS, 1993, 71 (11) :1661-1664

[3] 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

[4]

Constantin A, 2000, COMMUN PUR APPL MATH, V53, P603

[5]

Constantin A, 1998, COMMUN PUR APPL MATH, V51, P475, DOI 10.1002/(SICI)1097-0312(199805)51:5<475::AID-CPA2>3.0.CO

[6]

2-5

[7] On an integrable two-component Camassa-Holm shallow water system [J].

Constantin, Adrian ;

Ivanov, Rossen I. .

PHYSICS LETTERS A, 2008, 372 (48) :7129-7132

[8]

Escher J, 2007, DISCRETE CONT DYN-A, V19, P493

[9] On a Camassa-Holm type equation with two dependent variables [J].

Falqui, G .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (02) :327-342

[10] Well-posedness and blow-up solution for a modified two-component periodic Camassa-Holm system with peakons [J].

Fu, Ying ;

Liu, Yue ;

Qu, Changzheng .

MATHEMATISCHE ANNALEN, 2010, 348 (02) :415-448

← 1 2 3 4 →