5 papers · 1 filter
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…
Averaging Dynamics and Wong-Zakai approximations for a Fast-Slow Navier-Stokes System Driven by fractional Brownian Motion
Eliseo Luongo, Francesco Triggiano
We study a slow-fast system of coupled two- and three-dimensional Navier-Stokes equations in which the fast component is perturbed by an additive fractional Brownian noise with Hur…
On the effect of randomization on supercritical heat equations
Eliseo Luongo
Recently, in \cite{glogic2025non}, it has been shown that the focusing power nonlinearity heat equation \begin{equation}\label{Eq:Heat_abstract}\tag{NLH} \partial_t u -Îu = |u|^{p…
Zero-noise selection and Large Deviations in for the stochastic transport equation beyond DiPerna-Lions
Gianluca Crippa, Eliseo Luongo, Umberto Pappalettera
We consider solutions of the stochastic transport equation with drift in . We show strong existence and pathwise uniqueness of solutions in…
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…