Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation. (12th July 2011)

• Record Type: Journal Article
• Authors: Ju, Xuewei; Wang, Hongli; Li, Desheng; Duan, Jinqiao
• Other Names: Alikakos Nicholas D. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2011(2011)
• Publication Date: 2011-07-12
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2011/670786
• Languages: English
• ISSNs: 1085-3375

Abstract

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.