6 papers
An Effective SPDE Model for a Schrödinger Equation with a Fluctuating Magnetic Potential
Franco Flandoli, Reika Fukuizumi, Francesco Grotto +1
We consider the Schrödinger equation for a charged particle in a randomly fluctuating external magnetic field and establish a singular perturbation limit in which the solution conv…
Hasegawa-Mima equation in bounded domain with singular density
Franco Flandoli, Yassine Tahraoui
We investigate the well-posedness of Hasegawa-Mima equation (HME) in bounded domain with Dirichlet boundary condition and singular density under different regularity assumptions on…
Stretching of Polymers and turbulence: Fokker Planck equation, special stochastic scaling limit and stationary law
Franco Flandoli, Yassine Tahraoui
The aim of this work is understanding the stretching mechanism of stochastic models of turbulence acting on a simple model of dilute polymers. We consider a turbulent model that is…
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…
A non-inertial model for particle aggregation under turbulence
Franco Flandoli, Ruojun Huang
We consider an abstract non-inertial model of aggregation under the influence of a Gaussian white noise with prescribed space-covariance, and prove a formula for the mean collision…
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…