On the existence and uniqueness of solution to a stochastic 2D Allen-Cahn-Navier-Stokes model

被引：20

作者：

Medjo, Theodore Tachim ^{[1
]}

机构：

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

来源：

STOCHASTICS AND DYNAMICS | 2019年 / 19卷 / 01期

关键词：

Stochastic; Allen-Cahn; Navier-Stokes; variational solutions; strong solutions; PHASE-FIELD MODEL; 2-PHASE FLOW; EQUATIONS; DRIVEN; FLUIDS; SHEAR; SPDE;

D O I：

10.1142/S0219493719500072

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We study, in this paper, a stochastic version of a coupled Allen-Cahn-Navier-Stokes model in a two-dimensional (2D) bounded domain. The model consists of the Navier-Stokes equations (NSEs) for the velocity, coupled with a Allen-Cahn model for the order (phase) parameter. We prove the existence and the uniqueness of a variational solution.

引用

页数：28

共 34 条

[1] On a diffuse interface model for a two-phase flow of compressible viscous fluids [J].