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math.PR2019
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
Zero noise limit for multidimensional SDEs driven by a pointy gradient
François Delarue, Mario Maurelli
The purpose of the article is to address the limiting behavior of the solutions of stochastic differential equations driven by a pointy -dimensional gradient as the intensity of…
math.PR2019
Existence for stochastic 2D Euler equations with positive vorticity
Zdzisław Brzeźniak, Mario Maurelli
We prove the existence of non-negative measure- and -valued vorticity solutions to the stochastic 2D Euler equations with transport vorticity noise, starting from any non-n…