The existence of global weak solutions for a generalized Camassa-Holm equation

被引:2
|
作者
Tu, Xi [1 ]
Yin, Zhaoyang [2 ,3 ]
机构
[1] Foshan Univ, Dept Math, Foshan, Peoples R China
[2] Sun Yat Sen Univ, Dept Math, Guangzhou, Peoples R China
[3] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China
关键词
A generalized Camassa-Holm equation; global weak solution; the viscous approximation method; SHALLOW-WATER EQUATION; BLOW-UP PHENOMENA; CAUCHY-PROBLEM; WELL-POSEDNESS; INTEGRABLE EQUATION; SHOCK-WAVES; TRAJECTORIES; BREAKING;
D O I
10.1080/00036811.2020.1758313
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we mainly study the Cauchy problem of a generalized Camassa-Holm equation. We prove the existence of global weak solutions for this generalized Camassa-Holm equation by the viscous approximation method.
引用
收藏
页码:810 / 823
页数:14
相关论文
共 50 条
  • [1] THE EXISTENCE OF WEAK SOLUTIONS FOR A GENERALIZED CAMASSA-HOLM EQUATION
    Lai, Shaoyong
    Xie, Qichang
    Guo, Yunxi
    Wu, YongHong
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2011, 10 (01) : 45 - 57
  • [2] Global existence of weak solutions to the Camassa-Holm equation
    Wahlen, Erik
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2006, 2006
  • [3] Global weak solutions for a generalized Camassa-Holm equation
    Tu, Xi
    Yin, Zhaoyang
    MATHEMATISCHE NACHRICHTEN, 2018, 291 (16) : 2457 - 2475
  • [4] The local and global existence of solutions for a generalized Camassa-Holm equation
    Lai, Shao Yong
    Li, Nan
    Zhang, Jian
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (04) : 757 - 776
  • [5] The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation
    Shao Yong LAI
    Nan LI
    Jian ZHANG
    Acta Mathematica Sinica,English Series, 2013, 29 (04) : 757 - 776
  • [6] The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation
    Shao Yong LAI
    Nan LI
    Jian ZHANG
    Acta Mathematica Sinica, 2013, 29 (04) : 757 - 776
  • [7] The local and global existence of solutions for a generalized Camassa-Holm equation
    Shao Yong Lai
    Nan Li
    Jian Zhang
    Acta Mathematica Sinica, English Series, 2013, 29 : 757 - 776
  • [8] The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation
    Li, Nan
    Lai, Shaoyong
    Li, Shuang
    Wu, Meng
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [9] Global weak solutions to the Camassa-Holm equation
    Guo, Zhenhua
    Jiang, Mina
    Wang, Zhian
    Zheng, Gao-Feng
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2008, 21 (03) : 883 - 906
  • [10] EXISTENCE AND UNIQUENESS OF GLOBAL WEAK SOLUTIONS OF THE CAMASSA-HOLM EQUATION WITH A FORCING
    Zhu, Shihui
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (09) : 5201 - 5221