Abstract 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] , [4] , [5] and based on a variational representation on infinite-dimensional Brownian motion.

中文翻译：

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随机影响下二维 Cahn-Hilliard-Navier-Stokes 模型的大偏差

摘要 在本文中，我们推导出了随机影响下二维 Cahn-Hilliard-Navier-Stokes 模型的大偏差原理。该模型由速度的 Navier-Stokes 方程和阶数（相位）参数的 Cahn-Hilliard 方程组成。证明依赖于[3]、[4]、[5]中引入的弱收敛方法，并基于无限维布朗运动的变分表示。