Lucio Galeati

activity

20192026

most citedEddy heat exchange at the boundary under white noise turbulence

33 citations · 88 across the 16 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

math.PR2024

Anomalous Regularization in Kraichnan's Passive Scalar Model

Lucio Galeati, Francesco Grotto, Mario Maurelli

We consider the advection of a passive scalar by a divergence free random Gaussian field, white in time and Hölder regular in space (rough Kraichnan's model), a well established sy…

math.AP2024

Almost-everywhere uniqueness of Lagrangian trajectories for $3$ D Navier--Stokes revisited

Lucio Galeati

We show that, for any Leray solution $u$ to the $3$ D Navier--Stokes equations with $u_{0} \in L^{2}$ , the associated deterministic and stochastic Lagrangian trajectories are unique for…

math.PR2024

Regularization by rough Kraichnan noise for the generalised SQG equations

Marco Bagnara, Lucio Galeati, Mario Maurelli

We consider the generalised Surface Quasi-Geostrophic (gSQG) equations in $R^{2}$ with parameter $β \in (0, 1)$ , an active scalar model interpolating between SQG ( $β = 1$ ) and th…

math.PR2024

Quantitative Propagation of Chaos for Singular Interacting Particle Systems Driven by Fractional Brownian Motion

Lucio Galeati, Khoa Lê, Avi Mayorcas

We consider interacting systems particle driven by i.i.d. fractional Brownian motions, subject to irregular, possibly distributional, pairwise interactions. We show propagation of…

Anomalous Regularization in Kraichnan's Passive Scalar Model

Almost-everywhere uniqueness of Lagrangian trajectories for 3D Navier--Stokes revisited

Regularization by rough Kraichnan noise for the generalised SQG equations

Quantitative Propagation of Chaos for Singular Interacting Particle Systems Driven by Fractional Brownian Motion

Almost-everywhere uniqueness of Lagrangian trajectories for $3$ D Navier--Stokes revisited