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20232026
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math.AP2026

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…

math.PR2026

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 …

math.PR2026

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…

math.PR2026

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…

math.PR2026

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-…