3 papers
math.AP2025
Instantaneous Total Enhanced Dissipation For Very Rough Shear Flows
Marco Romito, Leonardo Roveri
This paper investigates enhanced dissipation for a passive scalar advected by "very rough" horizontal shear flows, described by an advection-diffusion equation on the 2D torus. The…
math.AP2024
Well-posedness of rough 2D Euler equation with bounded vorticity
Leonardo Roveri, Francesco Triggiano
We consider the 2D Euler equation with bounded initial vorticity and perturbed by rough transport noise. We show that there exists a unique solution, which coincides with the start…
math.PR2023
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…