SIAM Journal on Mathematical Analysis, Volume 52, Issue 6, Page 5339-5362, January 2020.
We consider an interacting particle system modeled as a system of $N$ stochastic differential equations driven by Brownian motions. We prove that the (mollified) empirical process converges, uniformly in time and space variables, to the solution of the two-dimensional Navier--Stokes equation written in vorticity form. The proofs follow a semigroup approach.

中文翻译：

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随机相互作用粒子系统对二维Navier-Stokes方程的一致逼近

SIAM数学分析杂志，第52卷，第6期，第5339-5362页，2020年1月。
我们考虑将相互作用的粒子系统建模为由布朗运动驱动的$ N $随机微分方程组。我们证明了（简化的）经验过程在时间和空间变量上一致地收敛到以涡度形式写的二维Navier-Stokes方程的解。证明遵循半组方法。