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math.PR2024
Background Vlasov equations and Young measures for passive scalar and vector advection equations under special stochastic scaling limits
Federico Butori, Franco Flandoli, Eliseo Luongo +1
In the last few years it was proved that scalar passive quantities subject to suitable stochastic transport noise, and more recently that also vector passive quantities subject to…
math.PR2024
Mean-Field Magnetohydrodynamics Models as Scaling Limits of Stochastic Induction Equations
Federico Butori, Eliseo Luongo
We study the asymptotic properties of a stochastic model for the induction equations of the magnetic field in a three dimensional periodic domain. The turbulent velocity field driv…
math.PR2024
On the Itô-Stratonovich Diffusion Limit for the Magnetic Field in a 3D Thin Domain
Federico Butori, Franco Flandoli, Eliseo Luongo
We introduce a stochastic model for a passive magnetic field in a three dimensional thin domain. The velocity field, white in time and modelling phenomenologically a turbulent flui…