Well‐Posedness, Blow‐Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two‐Component Camassa‐Holm Equation

Yongsheng Mi and Chunlai Mu

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We study the Cauchy problem of a weakly dissipative modified two‐component Camassa‐Holm equation. We firstly establish the local well‐posedness result. Then we present a precise blow‐up scenario. Moreover, we obtain several blow‐up results and the blow‐up rate of strong solutions. Finally, we consider the asymptotic behavior of solutions.

Date: 2013
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https://doi.org/10.1155/2013/547261

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:547261

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