In this paper, we consider a stochastic Cahn–Hilliard Navier–Stokes system in a bounded domain of [Formula: see text] [Formula: see text]. The system models the evolution of an incompressible isothermal mixture of binary fluids under the influence of stochastic external forces. We prove the existence of a global weak martingale solution. The proof is based on the splitting-up method as well as some compactness method.

中文翻译：

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随机 Cahn-Hilliard Navier-Stokes 模型的拆分方案

在本文中，我们考虑 [公式：见文本] [公式：见文本] 的有界域中的随机 Cahn-Hilliard Navier-Stokes 系统。该系统模拟了在随机外力影响下不可压缩的二元流体等温混合物的演变。我们证明了全局弱鞅解的存在。证明是基于分裂法和一些紧致法。