4 papers · 1 filter
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…
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…
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…