Large deviation for a 2D Allen-Cahn-Navier-Stokes model under random influences

被引：3
作者：
Deugoue, G. [1 ]
Medjo, T. Tachim [1 ,2 ]
机构：
[1] Univ Dschang, Dept Math & Comp Sci, POB 67, Dschang, Cameroon
[2] Florida Int Univ, Dept Math, DM413B Univ Pk, Miami, FL 33199 USA
来源：
ASYMPTOTIC ANALYSIS | 2021年 / 123卷 / 1-2期
关键词：
Allen-Cahn; Navier-Stokes; strong solutions; Gaussian noise; large deviations; PHASE-FIELD MODEL; EQUATIONS DRIVEN;
D O I：
10.3233/ASY-201625
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we derive a large deviation principle for a 2D Allen-Cahn-Navier-Stokes model under random influences. The model consists of the Navier-Stokes equations for the velocity, coupled with an Allen-Cahn equation for the order (phase) parameter. The proof relies on the weak convergence method that was introduced in (Ann. Inst. Henri Poincare Probab. Stat. 47 (2011) 725-747) and based on a variational representation on infinite-dimensional Brownian motion.
引用
收藏
页码：41 / 78
页数：38
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