On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System

Yongsheng Mi, Chunlai Mu and Weian Tao

Journal of Applied Mathematics, 2012, vol. 2012, 1-20

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:197672

DOI: 10.1155/2012/197672

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