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

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arxiv 2103.01497 v2 pith:VB2CMIZI submitted 2021-03-02 math.PR math.AP

Franco Flandoli , Dejun Luo This is my paper · ORCID
classification math.PRmath.AP
keywords deterministicenvironmentalequationslimitnavier-stokesnoisespointconsider
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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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  1. The fluctuation behaviour of the stochastic point vortex model with common noise

    math.PR 2025-01 conditional novelty 6.0 of 10

    The fluctuation process of the stochastic point vortex model with common noise converges in distribution to the unique strong solution of a linear fluctuation SPDE with multiplicative transport noise and a conditional...

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