11 papers
Hasegawa-Mima equation as limit of a magnetized pressureless Euler-Boltzmann system
Federico Butori, Franco Flandoli, Yassine Tahraoui
We prove that the Hasegawa-Mima equation (HME) is the limit of a magnetized pressureless Euler-Boltzmann system in a special scaling regime. The proof relies on the derivation of a…
The stochastic Landau-Lifshitz-Baryakhtar equation in critical spaces
Federico Butori, Foivos Evangelopoulos-Ntemiris, Lorenzo Marino +1
We study the stochastic Landau--Lifshitz--Baryakhtar equation with multiplicative noise and homogeneous Neumann boundary conditions on smooth bounded domains in dimensions …
Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations
Antonio Agresti, Federico Butori, Eliseo Luongo
We study a logarithmically hyperviscous Navier-Stokes model on the three-dimensional torus with Lie-transport noise, which includes both transport and stretching. We prove that, fo…
Ergodicity for a class of stochastic Hasegawa-Mima equations with dissipation
Federico Butori, Ciro Campolina, Franco Flandoli
This work deals with the ergodicity of the stochastic dissipative Hasegawa--Mima equations in a bounded domain driven by additive noise. The uniqueness of the invariant measure is…
Turbulent stretching of FENE dumbbell polymer model via special stochastic scaling and singular limits
Federico Butori, Yassine Tahraoui
We investigate the stretching mechanism of Finitely Extensible Nonlinear Elastic (FENE) model of polymers in a random turbulent flow. The turbulent model includes a dominant space-…
Homogenisation of a Passive Scalar Transported by Locally Supported White Noise
Federico Butori, Avi Mayorcas, Silvia Morlacchi
Stochastic perturbations of transport type are a common and widely accepted way of representing turbulent effects in fluid dynamics models. In many known examples, it even leads to…
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…
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…
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…
Existence of Invariant Measures for Stochastic Inviscid Multi-Layer Quasi-Geostrophic Equations
Federico Butori, Francesco Grotto, Eliseo Luongo +1
We consider an inviscid 3-layer quasi-geostrophic model with stochastic forcing in a 2D bounded domain. After establishing well-posedness of such system under natural regularity as…
Large Deviations Principle for the Inviscid Limit of Fluid Dynamic Systems in 2D Bounded Domains
Federico Butori, Eliseo Luongo
Using a weak convergence approach, we establish a Large Deviation Principle (LDP) for the solutions of fluid dynamic systems in two-dimensional bounded domains subjected to no-slip…