18 citations · 26 across the 22 of their papers we have counts for
23 papers
Anomalous properties of 2D active scalars perturbed by rough transport noise
Lucio Galeati, Eliseo Luongo, Umberto Pappalettera
We study SPDEs associated with D active scalars driven by incompressible transport noise of Kraichnan type, with regularity exponent ; our examples include the Euler…
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…
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…
Spectral instability and non-uniqueness for the Keller-Segel system
Eliseo Luongo, Umberto Pappalettera
We show that the Cauchy problem associated with the parabolic-elliptic Keller-Segel model is locally ill-posed in for dimensions and throu…
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…
Self-similar blowup from arbitrary data for supercritical wave maps with additive noise
Irfan Glogić, Martina Hofmanová, Eliseo Luongo
We consider stochastically perturbed wave maps from into , in all energy-supercritical dimensions . We show that corotational non-degener…
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 -Δu = |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…
Non-uniqueness of mild solutions to supercritical heat equations
Irfan Glogić, Martina Hofmanová, Theresa Lange +1
We consider the focusing power nonlinearity heat equation \begin{equation}\label{Eq:Heat_abstract}\tag{NLH} \partial_t u -Δu = |u|^{p-1}u, \quad p>1, \end{equation} in dimensions $…
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…
Global well-posedness of 2D Navier-Stokes with Dirichlet boundary fractional noise
Antonio Agresti, Alexandra Blessing, Eliseo Luongo
In this paper, we prove the global well-posedness and interior regularity for the 2D Navier-Stokes equations driven by a fractional noise acting as an inhomogeneous Dirichlet-type…
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…
Gibbs Equilibrium Fluctuations of Point Vortex Dynamics
Francesco Grotto, Eliseo Luongo, Marco Romito
We consider a system of N point vortices in a bounded domain with null total circulation, whose statistics are given by the Canonical Gibbs Ensemble at inverse temperature $β\geq 0…
Global well-Posedness and Interior Regularity of 2D Navier-Stokes Equations with Stochastic Boundary Conditions
Antonio Agresti, Eliseo Luongo
The paper is devoted to the analysis of the global well-posedness and the interior regularity of the 2D Navier-Stokes equations with inhomogeneous stochastic boundary conditions. T…
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…
2D Smagorinsky type large eddy models as limits of stochastic PDEs
Franco Flandoli, Dejun Luo, Eliseo Luongo
We prove that a version of Smagorinsky Large Eddy model for a 2D fluid in vorticity form is the scaling limit of suitable stochastic models for large scales, where the influence of…
Uniform Approximation of 2D Navier-Stokes Equations with Vorticity Creation by Stochastic Interacting Particle Systems
Francesco Grotto, Eliseo Luongo, Mario Maurelli
We consider a stochastic interacting particle system in a bounded domain with reflecting boundary, including creation of new particles on the boundary prescribed by a given source…
Dissipation properties of transport noise in the two-layer quasi-geostrophic model
Giulia Carigi, Eliseo Luongo
A stochastic version of the two-layer quasi-geostrophic model (2LQG) with multiplicative transport noise is analysed. This popular intermediate complexity model describes large sca…
Inviscid Limit for Stochastic Second-Grade Fluid Equations
Eliseo Luongo
We consider in a smooth and bounded two dimensional domain the convergence in the norm, uniformly in time, of the solution of the stochastic second-grade fluid equations with…
On the Hausdorff Measure of with the Euclidean Topology
Marco Bagnara, Luca Gennaioli, Giacomo Maria Leccese +1
In this paper we answer a question raised by David H. Fremlin about the Hausdorff measure of with respect to a distance inducing the Euclidean topology. In particula…
Inviscid limit for Stochastic Navier-Stokes Equations under general initial conditions
Eliseo Luongo
We consider in a smooth and bounded two dimensional domain the convergence in the norm, uniformly in time, of the solution of the stochastic Navier-Stokes equations with addi…