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.
Mean Field Limit of Point Vortices with Environmental Noises to Deterministic 2D Navier–Stokes Equations
Flandoli, Franco;Luo, Dejun
2024
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.File in questo prodotto:
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