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, issue 1

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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https://doi.org/10.1155/2012/197672

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:197672

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