Some remarks for a modified periodic Camassa-Holm system

Guangying Lv; Mingxin Wang

doi:10.3934/dcds.2011.30.1161

Article Contents

2011, Volume 30, Issue 4: 1161-1180. Doi: 10.3934/dcds.2011.30.1161

This issue Previous Article Towards the Chern-Simons-Higgs equation with finite energy Next Article A directional uniformity of periodic point distribution and mixing

Some remarks for a modified periodic Camassa-Holm system

Guangying Lv^1, and
Mingxin Wang^2,

1.
Department of Mathematics, Southeast University, Nanjing 210018
2.
Natural Science Research Center, Harbin Institute of Technology, Harbin 150080

Received: May 2010

Revised: August 2010

Published: October 2011

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Abstract

This paper is concerned with a modified two-component periodic Camassa-Holm system. The local well-posedness and low regularity result of solution are established by using the techniques of pseudoparabolic regularization and some priori estimates derived from the equation itself. A wave-breaking for strong solutions and several results of blow-up solution with certain initial profiles are described. In addition, the initial boundary value problem for a modified two-component periodic Camassa-Holm system is also considered.

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Mathematics Subject Classification: Primary: 35G25; Secondary: 35B30, 35L05.

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