Electron. J. Diff. Equ., Vol. 2015 (2015), No. 14, pp. 1-17.

Global dissipative solutions for the two-component Camassa-Holm shallow water system

Yujuan Wang, Yongduan Song

Abstract:
This article presents a continuous semigroup of globally defined weak dissipative solutions for the two-component Camassa-Holm system. Such solutions are established by using a new approach based on characteristics a set of new variables overcoming the difficulties inherent in multi-component systems.

Submitted September 3, 2013. Published January 19, 2015.
Math Subject Classifications: 35L05, 35L65, 35L51.
Key Words: Two-component Camassa-Holm system; global solutions; dissipative solutions.

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Yujuan Wang
School of Automation
Institute of smart system and renewable energy
Chongqing University
Chongqing 400044, China
email: iamwyj123456789@163.com
Yongduan Song
School of Automation
Institute of smart system and renewable energy
Chongqing University
Chongqing 400044, China
email: ydsong@cqu.edu.cn, Phone 0862365103001

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