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, 1-17

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:410981

DOI: 10.1155/2014/410981

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