The exponential behavior of a stochastic globally modified Cahn-Hilliard-Navier-Stokes model with multiplicative noise

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:460

Article

Deugoue, G.¹  Medjo, T. Tachim² 

[1] Univ Dschang, Dept Math & Comp Sci, POB 67, Dschang, Cameroon

[2] Florida Int Univ, Dept Math, DM413B Univ Pk, Miami, FL 33199 USA

关键词: Globally modified;    Stochastic Cahn-Hilliard;    Navier-Stokes;    Weak solutions;    Stabilization;    Stability;   

DOI  :  10.1016/j.jmaa.2017.11.050

来源: Elsevier

【 摘 要 】

In this article, we study the stability of weak solutions to a stochastic version of a globally modified coupled Cahn-Hilliard-Navier-Stokes model with multiplicative noise. The model consists of the globally modified Navier-Stokes equations for the velocity, coupled with an Cahn-Hilliard model for the order (phase) parameter. We prove that under some conditions on the forcing terms, the weak solutions converge exponentially in the mean square and almost surely exponentially to the stationary solutions. We also prove a result related to the stabilization of these equations. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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