In this article, we derive a large deviation principle for a stochastic 2D Cahn–Hilliard–Navier–Stokes system with a multiplicative noise of Lévy-type. The model consists of the Navier–Stokes equations for the velocity, coupled with a Cahn–Hilliard system for the order (phase) parameter. The proof is based on the weak convergence method introduced by Budhiraja, Dupuis and Maroulas in [Ann. Inst. Henri Poincaré Probab. Stat. 47 (2011) 725–747].

中文翻译：

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由跳跃噪声驱动的二维随机 Cahn-Hilliard-Navier-Stokes 的大偏差原理

在本文中，我们推导了具有 Lévy 型乘性噪声的随机 2D Cahn-Hilliard-Navier-Stokes 系统的大偏差原理。该模型由速度的 Navier-Stokes 方程和阶（相位）参数的 Cahn-Hilliard 系统组成。该证明基于 Budhiraja、Dupuis 和 Maroulas 在 [Ann. 研究所。亨利·庞加莱·普罗巴布。统计。47 (2011) 725–747]。