Global Mild Solutions and Attractors for Stochastic Viscous Cahn‐Hilliard Equation | Zendy

Xuewei Ju | Zendy; Wang Hongli | Zendy; Desheng Li | Zendy; Jinqiao Duan | Zendy

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

Author(s) -

Xuewei Ju,

Wang Hongli,

Desheng Li,

Jinqiao Duan

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/670786

Subject(s) - mathematics , uniqueness , attractor , cahn–hilliard equation , bounded function , mathematical analysis , white noise , boundary (topology) , set (abstract data type) , partial differential equation , statistics , computer science , programming language

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

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