## Abstract and Applied Analysis

### Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH Equation

#### Abstract

This paper is concerned with blow-up phenomena and persistence properties for an integrable two-component Dullin-Gottwald-Holm shallow water system. We give sufficient conditions on the initial data which guarantee blow-up phenomena of solutions in finite time for both periodic and nonperiodic cases, respectively. Furthermore, the persistence properties of solutions to the system are investigated.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 750315, 13 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449401

Digital Object Identifier
doi:10.1155/2013/750315

Mathematical Reviews number (MathSciNet)
MR3067061

Zentralblatt MATH identifier
07095324

#### Citation

Zhai, Panpan; Guo, Zhengguang; Wang, Weiming. Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH Equation. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 750315, 13 pages. doi:10.1155/2013/750315. https://projecteuclid.org/euclid.aaa/1393449401

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