Abstract and Applied Analysis
Volume 2013 (2013), Article ID 601325, 13 pages
http://dx.doi.org/10.1155/2013/601325
Research Article

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

Hongyong Cui, Jie Xin, and Anran Li

School of Mathematics and Information, Ludong University, Yantai, 264025, China

Received 8 November 2012; Revised 25 January 2013; Accepted 27 January 2013

Academic Editor: Lucas Jódar

Copyright © 2013 Hongyong Cui et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.