The Cauchy Problem for a Dissipative Periodic 2‐Component Degasperis‐Procesi System

Sen Ming, Han Yang and Ls Yong

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: The dissipative periodic 2‐component Degasperis‐Procesi system is investigated. A local well‐posedness for the system in Besov space is established by using the Littlewood‐Paley theory and a priori estimates for the solutions of transport equation. The wave‐breaking criterions for strong solutions to the system with certain initial data are derived.

Date: 2014
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https://doi.org/10.1155/2014/410981

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:410981

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