Open Access Research

Blow-up phenomena and global existence for the periodic two-component Dullin-Gottwald-Holm system

Jingjing Liu1* and Dequan Zhang2

Author Affiliations

1 Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, 450002, China

2 Faculty of Science, Guilin University of Aerospace Industry, Guilin, 541004, China

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Boundary Value Problems 2013, 2013:158  doi:10.1186/1687-2770-2013-158

Published: 1 July 2013

Abstract

This paper is concerned with blow-up phenomena and global existence for the periodic two-component Dullin-Gottwald-Holm system. We first obtain several blow-up results and the blow-up rate of strong solutions to the system. We then present a global existence result for strong solutions to the system.

MSC: 35G25, 35L05.

Keywords:
periodic two-component Dullin-Gottwald-Holm system; blow-up; blow-up rate; global existence