Convergence of the solution of the stochastic 3D globally modified Cahn-Hilliard-Navier-Stokes equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:265

Article

Deugoue, G.²  Medjo, T. Tachim¹ 

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

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

关键词: Cahn-Hilliard-Navier-Stokes;    Globally modified;    Stochastic;    Galerkin scheme;   

DOI  :  10.1016/j.jde.2018.03.002

来源: Elsevier

【 摘 要 】

We study in this article the stochastic 3D globally modified Cahn-Hilliard-Navier-Stokes model in a 3D dimensional bounded domain. We prove the existence and uniqueness of strong solutions. Furthermore, we discuss the relation of the stochastic 3D globally modified Cahn-Hilliard-Navier-Stokes equations to the stochastic 3D Cahn-Hilliard-Navier-Stokes equations by proving a convergence theorem, that as the parameter N tends to infinity, a subsequence of solutions of the stochastic 3D globally modified Cahn-Hilliard-Navier-Stokes equations converges to a weak martingale solution of the stochastic 3D Cahn-Hilliard-Navier-Stokes equations. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free