CAUCHY PROBLEM FOR A GENERALIZED WEAKLY DISSIPATIVE PERIODIC TWO-COMPONENT CAMASSA-HOLM SYSTEM

被引：0
|
作者：
Chen, Wenxia [1 ]
Tian, Lixin [1 ]
Deng, Xiaoyan [1 ]
机构：
[1] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Wave-breaking; weakly dissipative; blow-up rate; periodic two-component Camassa-Holm equation; global solution; BLOW-UP PHENOMENA; GLOBAL CONSERVATIVE SOLUTIONS; WAVE-BREAKING; EXISTENCE; TRAJECTORIES; PROPAGATION; EQUATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study a generalized weakly dissipative periodic two-component Camassa-Holm system. We show that this system can exhibit the wave-breaking phenomenon and determine the exact blow-up rate of strong solution to the system. In addition, we establish a sufficient condition for having a global solution.
引用
收藏
页数：19
相关论文
共 50 条
  • [1] The spatially periodic Cauchy problem for a generalized two-component μ-Camassa-Holm system
    Yu, Shengqi
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2014, 19 : 117 - 134
  • [2] On the Cauchy problem for the two-component Camassa-Holm system
    Gui, Guilong
    Liu, Yue
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2011, 268 (1-2) : 45 - 66
  • [3] 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
  • [4] Global solutions to a special case of the generalized weakly dissipative periodic two-component Camassa-Holm system
    Moon, Byungsoo
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 117 : 38 - 46
  • [5] The Cauchy Problem for a Weakly Dissipative 2-Component Camassa-Holm System
    Ming, Sen
    Yang, Han
    Wu, Yonghong
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [6] On the Cauchy problem for a weakly dissipative coupled Camassa-Holm system
    Zhang, Dongxue
    Zhou, Yonghui
    Ji, Shuguan
    Li, Xiaowan
    [J]. MONATSHEFTE FUR MATHEMATIK, 2023, 202 (04): : 857 - 873
  • [7] On the Cauchy problem for a two-component higher order Camassa-Holm system
    Zhou, Shouming
    Zhou, Luhang
    Chen, Rong
    [J]. MATHEMATISCHE NACHRICHTEN, 2024,
  • [8] The periodic Cauchy problem for a two-component non-isospectral cubic Camassa-Holm system
    Zhang, Lei
    Qiao, Zhijun
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (03) : 1270 - 1305
  • [9] On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System
    Mi, Yongsheng
    Mu, Chunlai
    Tao, Weian
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [10] On Blow-Up of Solutions to a Weakly Dissipative Two-Component Camassa-Holm System
    Han, Xuanxuan
    Wang, Tingting
    Lu, Yibin
    [J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2022, 29 (03) : 588 - 600
12345