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Large deviation for a 2D Allen–Cahn–Navier–Stokes model under random influences
Asymptotic Analysis ( IF 1.4 ) Pub Date : 2020-06-04 , DOI: 10.3233/asy-201625
G. Deugoué 1 , T. Tachim Medjo 1, 2
Affiliation  

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 Poincaré Probab. Stat. 47 (2011) 725–747) and based on a variational representation on infinite-dimensional Brownian motion.

中文翻译:

随机影响下二维Allen–Cahn–Navier–Stokes模型的大偏差

在本文中,我们推导了随机影响下的二维Allen–Cahn–Navier–Stokes模型的大偏差原理。该模型由用于速度的Navier–Stokes方程以及用于阶数(相位)参数的Allen–Cahn方程组成。该证明依赖于(Ann。Inst。HenriPoincaréProbab。Stat。47(2011)725–747)中引入的弱收敛方法,并且基于对无穷维布朗运动的变分表示。
更新日期:2020-06-30
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