Mean Field Limit of Point Vortices with Environmental Noises to Deterministic 2D Navier–Stokes Equations
摘要
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.