## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2013 (2013), Article ID 601325, 13 pages.

### Weakly Compact Uniform Attractor for the Nonautonomous Long-Short Wave Equations

Hongyong Cui, Jie Xin, and Anran Li

#### Abstract

Solutions and weakly compact uniform attractor for the nonautonomous long-short wave equations with translation compact forces were studied in a bounded domain. We first established the existence and the uniqueness of the solution to the system by using Galerkin method and then obtained the uniform absorbing set and the weakly compact uniform attractor of the problem by applying techniques of constructing skew product flow in the extended phase space.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2013 (2013), Article ID 601325, 13 pages.

**Dates**

First available in Project Euclid: 27 February 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1393511771

**Digital Object Identifier**

doi:10.1155/2013/601325

**Mathematical Reviews number (MathSciNet)**

MR3035279

**Zentralblatt MATH identifier**

1291.35339

#### Citation

Cui, Hongyong; Xin, Jie; Li, Anran. Weakly Compact Uniform Attractor for the Nonautonomous Long-Short Wave Equations. Abstr. Appl. Anal. 2013 (2013), Article ID 601325, 13 pages. doi:10.1155/2013/601325. https://projecteuclid.org/euclid.aaa/1393511771