Abstract and Applied Analysis
Volume 2011 (2011), Article ID 670786, 22 pages
http://dx.doi.org/10.1155/2011/670786
Research Article

Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation

Xuewei Ju,1 Hongli Wang,1 Desheng Li,2 and Jinqiao Duan3

1Department of Mechanic, Mechanical College, Tianjin University, Tianjin 300072, China
2Department of Mathematics, School of Science, Tianjin University, Tianjin 300072, China
3Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616, USA

Received 22 March 2011; Accepted 19 May 2011

Academic Editor: Nicholas D. Alikakos

Copyright © 2011 Xuewei Ju 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

This paper is devoted to the study of mild solutions for the initial and boundary value problem of stochastic viscous Cahn-Hilliard equation driven by white noise. Under reasonable assumptions we first prove the existence and uniqueness result. Then, we show that the existence of a stochastic global attractor which pullback attracts each bounded set in appropriate phase spaces.