activity
20032026
most citedA probabilistic representation for the vorticity of a 3D viscous fluid and for general systems of parabolic equations

13 citations · 19 across the 8 of their papers we have counts for

collaborators

10 papers

math-ph2026

Anomalous diffusion properties of stochastic transport by heavy-tailed jump processes

Paolo Cifani, Franco Flandoli, Lorenzo Marino

In this work, we investigate the large-scale transport properties of a passive scalar advected by a turbulent fluid, modelled as a superposition of divergence-free vector fields, e…

math.PR2025

The hard membrane process and transport barriers of turbulent flows

Olga Aryasova, Franco Flandoli, Andrey Pilipenko

Motivated by the phenomenon of transport barriers in fusion plasma devices, we write a mathematical model of heat dispersion in a turbulent fluid with a transport barrier, properly…

math.PR2025

A scaling limit for Vlasov equations with electrostatic fluctuations

Franco Flandoli, Dejun Luo

We consider a Vlasov equation for a plasma with a given constant magnetic field, and introduce a white noise perturbation of the electric field in the electrostatic approximation,…

math-ph2025

The early stage of the motion along the gradient of a concentrated vortex structure

Franco Flandoli, Matteo Palmieri, Milo Viviani

We give a rigorous mathematical result, supported by numerical simulations, of the aggregation of a concentrated vortex blob with an underlying non-constant vorticity field: the bl…

math.PR2024

Average dissipation for stochastic transport equations with Lévy noise

Franco Flandoli, Andrea Papini, Marco Rehmeier

We show that, in one spatial and arbitrary jump dimension, the averaged solution of a Marcustype SPDE with pure jump Lévy transport noise satisfies a dissipative deterministic equa…

math.PR2024

Remarks on regularization by noise, convex integration and spontaneous stochasticity

Franco Flandoli, Marco Rehmeier

This note is devoted to a discussion of the potential links and differences between three topics: regularization by noise, convex integration, spontaneous stochasticity. All of the…