Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 719063, 13 pages
http://dx.doi.org/10.1155/2013/719063
Research Article

Pullback -Attractor of Nonautonomous Three-Component Reversible Gray-Scott System on Unbounded Domains

College of Science, Guilin University of Technology, Guilin 541004, China

Received 22 April 2013; Accepted 29 July 2013

Academic Editor: Shaoyong Lai

Copyright © 2013 Anhui Gu. 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

The long time behavior of solutions of the nonautonomous three-components reversible Gray-Scott system defined on the entire space is studied when the external forcing terms are unbounded in a phase space. The existence of a pullback global attractor for the equation is established in and , respectively. The pullback asymptotic compactness of solutions is proved by using uniform estimates on the tails of solutions on unbounded domains.