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Well-posedness and blow-up phenomena for a periodic two-component Camassa–Holm equation

Published online by Cambridge University Press:  11 February 2011

Qiaoyi Hu  and
Zhaoyang Yin
Qiaoyi Hu
Affiliation:
Department of Mathematics, Sun Yat-sen University, 510275 Guangzhou, People's Republic of China
Zhaoyang Yin
Affiliation:
Department of Mathematics, Sun Yat-sen University, 510275 Guangzhou, People's Republic of China
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Abstract

We establish the local well-posedness for a periodic two-component Camassa–Holm equation. We then present precise blow-up scenarios. Finally, we obtain several blow-up results and the blow-up rate of strong solutions to the equation.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 1 , February 2011 , pp. 93 - 107
Copyright
Copyright © Royal Society of Edinburgh 2011

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