63 citations · 162 across the 10 of their papers we have counts for
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math.PR2019★ 5 cited
Regularized vortex approximation for 2D Euler equations with transport noise
Michele Coghi, Mario Maurelli
We study a mean field approximation for the 2D Euler vorticity equation driven by a transport noise. We prove that the Euler equations can be approximated by interacting point vort…
math.PR2019★ 11 cited
Rough nonlocal diffusions
Michele Coghi, Torstein Nilssen
We consider a nonlinear Fokker-Planck equation driven by a deterministic rough path which describes the conditional probability of a McKean-Vlasov diffusion with "common" noise. To…
math.PR2019★ 37 cited
Stochastic nonlinear Fokker-Planck equations
Michele Coghi, Benjamin Gess
The existence and uniqueness of measure-valued solutions to stochastic nonlinear, non-local Fokker-Planck equations is proven. This type of stochastic PDE is shown to arise in the…