Global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system

被引：175
作者：
Guan, Chunxia [1 ]
Yin, Zhaoyang [1 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 248卷 / 08期
关键词：
Integrable two-component Camassa-Holm; shallow water system; Global existence; Blow-up; Strong solutions; BOUNDARY VALUE-PROBLEMS; WELL-POSEDNESS; BREAKING WAVES; WEAK SOLUTIONS; EQUATION; TRAJECTORIES; STABILITY;
D O I：
10.1016/j.jde.2009.08.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with global existence and blow-up phenomena for an integrable two-component Camassa-Holm shallow water system. A new global existence result and several new blow-up results of strong solutions to the system are presented. Our obtained results for the system are sharp and improve considerably earlier results (C) 2009 Elsevier Inc All rights reserved
引用
收藏
页码：2003 / 2014
页数：12
相关论文
共 45 条
  • [1] Multi-peakons and a theorem of Stieltjes
    Beals, R
    Sattinger, DH
    Szmigielski, J
    [J]. INVERSE PROBLEMS, 1999, 15 (01) : L1 - L4
  • [2] Global dissipative solutions of the Camassa-Holm equation
    Bressan, Alberto
    Constantin, Adrian
    [J]. ANALYSIS AND APPLICATIONS, 2007, 5 (01) : 1 - 27
  • [3] Global conservative solutions of the Camassa-Holm equation
    Bressan, Alberto
    Constantin, Adrian
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2007, 183 (02) : 215 - 239
  • [4] AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS
    CAMASSA, R
    HOLM, DD
    [J]. PHYSICAL REVIEW LETTERS, 1993, 71 (11) : 1661 - 1664
  • [5] Camassa R., 1994, Advances in Applied Mechanics, V31, P1
  • [6] A two-component generalization of the Camassa-Holm equation and its solutions
    Chen, M
    Liu, SQ
    Zhang, YJ
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 2006, 75 (01) : 1 - 15
  • [7] Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis
    Constantin, A.
    Johnson, R. S.
    [J]. FLUID DYNAMICS RESEARCH, 2008, 40 (03) : 175 - 211
  • [8] Constantin A, 2000, COMMUN PUR APPL MATH, V53, P603
  • [9] Geodesic flow on the diffeomorphism group of the circle
    Constantin, A
    Kolev, B
    [J]. COMMENTARII MATHEMATICI HELVETICI, 2003, 78 (04) : 787 - 804
  • [10] Constantin A, 1998, COMMUN PUR APPL MATH, V51, P475, DOI 10.1002/(SICI)1097-0312(199805)51:5<475::AID-CPA2>3.0.CO
12345