18 citations · 26 across the 22 of their papers we have counts for
5 papers · 1 filter
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…