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arXiv 2004.004582020-04math.PRmath.APmath.FA

Uniform approximation of 2$d$ Navier-Stokes equation by stochastic interacting particle systems

Franco Flandoli, Christian Olivera, Marielle Simon

英文摘要：

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.

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