Mean field limit of point vortices with environmental noises to deterministic 2D Navier-Stokes equations

2021/03/02 by Flandoli, Franco, Luo, Dejun
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2103.01497

Abstract

We consider point vortex systems on the two dimensional torus perturbed by environmental noise. It is shown that, under a suitable scaling of the noises, weak limit points of the empirical measures are solutions to the vorticity formulation of deterministic 2D Navier-Stokes equations.

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