The stochastic two-dimensional Cahn–Hilliard–Navier–Stokes equations under non-Lipschitz conditions are considered. This model consists of the Navier–Stokes equations controlling the velocity and the Cahn–Hilliard model controlling the phase parameters. By iterative techniques, a priori estimates and weak convergence method, the existence and uniqueness of an energy weak solution to the equations under non-Lipschitz conditions have been obtained.

中文翻译：

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二维空间中的非 Lipschitz 随机 Cahn-Hilliard-Navier-Stokes 方程

考虑了非Lipschitz条件下的随机二维Cahn-Hilliard-Navier-Stokes方程。该模型由控制速度的 Navier-Stokes 方程和控制相位参数的 Cahn-Hilliard 模型组成。通过迭代技术，先验估计和弱收敛方法，得到了非Lipschitz条件下方程的能量弱解的存在性和唯一性。