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arXiv · 2103.01497

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

Franco Flandoli·Dejun Luo
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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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Franco Flandoli, Dejun Luo. 2021-03-02. Mean field limit of point vortices with environmental noises to deterministic 2D Navier-Stokes equations. https://arxiv.org/abs/2103.01497

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