A wave breaking criterion for a modified periodic two-component Camassa-Holm system

被引:1
|
作者
Wang, Ying [1 ]
机构
[1] Sichuan Univ Sci & Engn, Sch Sci, Zigong 643000, Peoples R China
关键词
a modified periodic two-component Camassa-Holm system; wave-breaking criterion; localization analysis; SHALLOW-WATER SYSTEM; BLOW-UP PHENOMENA; WELL-POSEDNESS; EQUATION;
D O I
10.1186/s13660-016-1023-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a wave-breaking criterion of strong solutions is acquired in the Soblev space H-s(S) x Hs-1(S) with s > 3/2 by employing the localization analysis in the transport equation theory, which is different from that of the two-component Camassa-Holm system.
引用
收藏
页数:14
相关论文
共 50 条
  • [1] A wave breaking criterion for a modified periodic two-component Camassa-Holm system
    Ying Wang
    [J]. Journal of Inequalities and Applications, 2016
  • [2] Wave breaking for a modified two-component Camassa-Holm system
    Guo, Zhengguang
    Zhu, Mingxuan
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (03) : 2759 - 2770
  • [3] Wave Breaking for the Modified Two-Component Camassa-Holm System
    Lv, Wujun
    Zhu, Weiyi
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [4] BREAKING WAVES FOR THE PERIODIC TWO-COMPONENT CAMASSA-HOLM SYSTEM
    Guo, Fei
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (07) : 2407 - 2415
  • [5] WAVE BREAKING PHENOMENA AND GLOBAL SOLUTIONS FOR A GENERALIZED PERIODIC TWO-COMPONENT CAMASSA-HOLM SYSTEM
    Chen, Caixia
    Wen, Shu
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2012, 32 (10) : 3459 - 3484
  • [6] Wave breaking and infinite propagation speed for a modified two-component Camassa-Holm system with κ≠0
    Wujun Lv
    Ahmed Alsaedi
    Tasawar Hayat
    Yong Zhou
    [J]. Journal of Inequalities and Applications, 2014
  • [7] Wave breaking and infinite propagation speed for a modified two-component Camassa-Holm system with κ ≠ 0
    Lv, Wujun
    Alsaedi, Ahmed
    Hayat, Tasawar
    Zhou, Yong
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [8] Wave breaking for a generalized weakly dissipative two-component Camassa-Holm system
    Chen, Wenxia
    Tian, Lixin
    Deng, Xiaoyan
    Zhang, Jianmei
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 400 (02) : 406 - 417
  • [9] Wave Breaking and Global Existence for a Generalized Two-Component Camassa-Holm System
    Chen, Robin Ming
    Liu, Yue
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2011, 2011 (06) : 1381 - 1416
  • [10] A note on a modified two-component Camassa-Holm system
    Jin, Liangbing
    Guo, Zhengguang
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (02) : 887 - 892