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2014 The Cauchy Problem for a Dissipative Periodic 2-Component Degasperis-Procesi System
Sen Ming, Han Yang, Ls Yong
J. Appl. Math. 2014: 1-17 (2014). DOI: 10.1155/2014/410981

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.

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Sen Ming. Han Yang. Ls Yong. "The Cauchy Problem for a Dissipative Periodic 2-Component Degasperis-Procesi System." J. Appl. Math. 2014 1 - 17, 2014. https://doi.org/10.1155/2014/410981

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131578
MathSciNet: MR3246414
Digital Object Identifier: 10.1155/2014/410981

Rights: Copyright © 2014 Hindawi

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