13 citations · 19 across the 8 of their papers we have counts for
8 papers · 1 filter
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…
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,…
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…
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…
On the mean field approximation of a stochastic model of tumor-induced angiogenesis
Vincenzo Capasso, Franco Flandoli
In the field of Life Sciences it it very common to deal with extremely complex systems, from both analytical and computational points of view, due to the unavoidable coupling of di…
Conservative interacting particles system with anomalous rate of ergodicity
Zdzislaw Brzeźniak, Franco Flandoli, Misha Neklyudov +1
We analyze certain conservative interacting particle system and establish ergodicity of the system for a family of invariant measures. Furthermore, we show that convergence rate to…
Regularity of transition semigroups associated to a 3D stochastic Navier-Stokes equation
F. Flandoli, M. Romito
A 3D stochastic Navier-Stokes equation with a suitable non degenerate additive noise is considered. The regularity in the initial conditions of every Markov transition kernel assoc…
A probabilistic representation for the vorticity of a 3D viscous fluid and for general systems of parabolic equations
B. Busnello, F. Flandoli, M. Romito
A probabilistic representation formula for general systems of linear parabolic equations, coupled only through the zero-order term, is given. On this basis, an implicit probabilist…