Eliseo Luongo

collaborators

9 papers

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.AP2026

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 $L^{q} (R^{n})$ for dimensions $n \in {3, \dots, 9}$ and throu…

math.PR2026

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…

math.AP2025

Self-similar blowup from arbitrary data for supercritical wave maps with additive noise

Irfan GlogiÄ, Martina HofmanovÃ¡, Eliseo Luongo

We consider stochastically perturbed wave maps from $R^{1 + d}$ into $S^{d}$ , in all energy-supercritical dimensions $d \geq 3$ . We show that corotational non-degener…

math.PR2025

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…

math.PR2025

Zero-noise selection and Large Deviations in $L_{t}^{\infty} L_{x}^{p}$ for the stochastic transport equation beyond DiPerna-Lions

Gianluca Crippa, Eliseo Luongo, Umberto Pappalettera

We consider $L_{t}^{\infty} L_{x}^{p}$ solutions of the stochastic transport equation with drift in $L_{t}^{\infty} W_{x}^{1, q}$ . We show strong existence and pathwise uniqueness of solutions in…