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：
中国国家自然科学基金; 中国博士后科学基金;
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
  • [21] On Solutions to a Two-Component Generalized Camassa-Holm Equation
    Guo, Zhengguang
    Zhou, Yong
    [J]. STUDIES IN APPLIED MATHEMATICS, 2010, 124 (03) : 307 - 322
  • [22] Global Existence and Blow-Up for a Weakly Dissipative Modified Two-Component Camassa-Holm System
    Han, Xuanxuan
    Wang, Tingting
    Lu, Yibin
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2022, 2022
  • [23] Global weak solutions for a periodic two-component -Camassa-Holm system
    Zhang, Ying
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (13) : 1734 - 1745
  • [24] On the Cauchy problem for a weakly dissipative coupled Camassa–Holm system
    Dongxue Zhang
    Yonghui Zhou
    Shuguan Ji
    Xiaowan Li
    [J]. Monatshefte für Mathematik, 2023, 202 : 857 - 873
  • [25] Global Conservative Solutions of a Generalized Two-Component Camassa-Holm System
    Zhang, Feng
    Yang, Han
    Wu, Yonghong
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [26] Blowup solutions for the generalized two-component Camassa-Holm system on the circle
    Guo, Fei
    Peng, Weiwei
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 105 : 120 - 133
  • [27] ON THE GLOBAL WEAK SOLUTION TO A GENERALIZED TWO-COMPONENT CAMASSA-HOLM SYSTEM
    Tan, Wenke
    Liu, Yue
    Yin, Zhaoyang
    [J]. QUARTERLY OF APPLIED MATHEMATICS, 2013, 71 (04) : 661 - 677
  • [28] 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
  • [29] On the Cauchy problem for a weakly dissipative Camassa-Holm equation in critical Besov spaces
    Meng, Zhiying
    Yin, Zhaoyang
    [J]. APPLICABLE ANALYSIS, 2022, : 4432 - 4449
  • [30] GLOBAL DISSIPATIVE SOLUTIONS FOR THE TWO-COMPONENT CAMASSA-HOLM SHALLOW WATER SYSTEM
    Wang, Yujuan
    Song, Yongduan
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
12345