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

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  • Xuewei Ju
  • Hongli Wang
  • Desheng Li
  • Jinqiao Duan

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.

Suggested Citation

  • Xuewei Ju & Hongli Wang & Desheng Li & Jinqiao Duan, 2011. "Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-22, July.
    • Handle: RePEc:hin:jnlaaa:670786
    DOI: 10.1155/2011/670786
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