Existence and ergodicity for the two-dimensional stochastic Allen-Cahn-Navier-Stokes equations

被引：0
作者：
Ngana, Aristide Ndongmo [1 ,2 ]
Medjo, Theodore Tachim [3 ]
机构：
[1] Univ Dschang, Dept Math & Comp Sci, POB 67, Dschang, Cameroon
[2] North West Univ, Sch Math & Stat Sci, Potchefstroom, South Africa
[3] Florida Int Univ, Dept Math & Stat, MMC, Miami, FL 33199 USA
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2024年 / 43卷 / 1-2期
关键词：
stochastic; Allen-Cahn; Navier-Stokes equations; invariant measure; coupling; ergodicity; BOUSSINESQ EQUATIONS; UNIQUE STRONG; ATTRACTORS; MODEL;
D O I：
10.4171/ZAA/1752
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study in this article a stochastic version of a coupled Allen-Cahn-Navier-Stokes model in a two-dimensional bounded domain. The model consists of the Navier-Stokes equations for the velocity, coupled with an Allen-Cahn model for the order (phase) parameter, both endowed with suitable boundary conditions. We prove the existence of solutions via a semigroup approach. We also obtain the existence and uniqueness of an invariant measure via coupling methods.
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页码：1 / 48
页数：48
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