Electron. J. Diff. Equ., Vol. 2014 (2014), No. 123, pp. 1-19.

Cauchy problem for a generalized weakly dissipative periodic two-component Camassa-Holm system

Wenxia Chen, Lixin Tian, Xiaoyan Deng

Abstract:
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.

Submitted September 27, 2013. Published May 14, 2014.
Math Subject Classifications: 35B44, 35B30, 35G25.
Key Words: 35B44, 35B30, 35G25.

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Wenxia Chen
Nonlinear Scientific Research Center, Faculty of Science
Jiangsu University, Zhenjiang, Jiangsu 212013, China
email: swp@ujs.edu.cn
  Lixin Tian
Nonlinear Scientific Research Center, Faculty of Science
Jiangsu University, Zhenjiang, Jiangsu 212013, China
  Xiaoyan Deng
Nonlinear Scientific Research Center, Faculty of Science
Jiangsu University, Zhenjiang, Jiangsu 212013, China

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