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

被引：5

作者：

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

Medjo, T. Tachim ^{[1
]}

机构：

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

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 486卷 / 10期

关键词：

Cahn-Hilliard; Navier-Stokes; Strong solutions; Gaussian noise; Large deviations; PHASE-FIELD MODEL; EQUATIONS DRIVEN; UNIQUENESS; EXISTENCE;

D O I：

10.1016/j.jmaa.2020.123863

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 Cahn-Hilliard-Navier-Stokes model under random influences. The model consists of the Navier-Stokes equations for the velocity, coupled with a Cahn-Hilliard equation for the order (phase) parameter. The proof relies on the weak convergence method that was introduced in [3-5] and based on a variational representation on infinite-dimensional Brownian motion. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：34

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