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2012 On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System
Yongsheng Mi, Chunlai Mu, Weian Tao
J. Appl. Math. 2012: 1-20 (2012). DOI: 10.1155/2012/197672

Abstract

We study the Cauchy problem of a weakly dissipative modified two-component periodic Camassa-Holm equation. We first establish the local well-posedness result. Then we derive the precise blow-up scenario and the blow-up rate for strong solutions to the system. Finally, we present two blow-up results for strong solutions to the system.

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Yongsheng Mi. Chunlai Mu. Weian Tao. "On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System." J. Appl. Math. 2012 1 - 20, 2012. https://doi.org/10.1155/2012/197672

Information

Published: 2012
First available in Project Euclid: 2 January 2013

zbMATH: 1251.35133
MathSciNet: MR2979459
Digital Object Identifier: 10.1155/2012/197672

Rights: Copyright © 2012 Hindawi

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