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

Published 2 Mar 2021 in math.PR and math.AP | (2103.01497v2)

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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