Existence of a solution to the stochastic nonlocal Cahn-Hilliard Navier-Stokes model via a splitting-up method

被引：8

作者：

Deugoue, G. ^{[1
,2
]}

Moghomye, B. Jidjou ^{[1
]}

Medjo, T. Tachim ^{[2
]}

机构：

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

[2] Florida Int Univ, MMC, Dept Math & Stat, Miami, FL 33199 USA

来源：

NONLINEARITY | 2020年 / 33卷 / 07期

关键词：

stochastic Navier-Stokes; nonlocal Cahn-Hilliard; weak martingale solutions; splitting-up method; cylindrical Wiener process; compactness; DIFFERENTIAL-EQUATIONS; CONVERGENCE; MARTINGALE; BEHAVIOR; SYSTEMS;

D O I：

10.1088/1361-6544/ab8020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a stochastic diffuse interface model which describes the motion of an incompressible isothermal mixture of two immiscible fluids under the influence of stochastic external forces in a bounded domain of R-d, d = 2, 3. The model consists of the stochastic Navier-Stokes equations coupled with a nonlocal Cahn-Hilliard equation. We prove the existence of a global weak martingale solution via a numerical scheme based on splitting-up method.

引用

页码：3424 / 3469

页数：46

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