3 citations · 9 across the 9 of their papers we have counts for
7 papers · 1 filter
Uniqueness for a Stochastic Inviscid Dyadic Model
David Barbato, Franco Flandoli, Francesco Morandin
For the deterministic dyadic model of turbulence, there are examples of initial conditions in which have more than one solution. The aim of this paper is to prove that unique…
On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model
Franco Flandoli, Massimiliano Gubinelli, Francesco Russo
We study the pathwise regularity of the map where is a vector function on belonging to some Banach space , is a stoc…
On a stochastic version of Prouse model in fluid dynamics
B. Ferrario, F. Flandoli
A stochastic version of a modified Navier-Stokes equation (introduced by Prouse) is considered in a 3-dimensional torus. We prove existence and uniqueness of martingale solutions.…
Markovianity and ergodicity for a surface growth PDE
D. Blömker, F. Flandoli, M. Romito
The paper analyses a model in surface growth, where uniqueness of weak solutions seems to be out of reach. We provide the existence of a weak martingale solution satisfying energy…
Markov selections for the 3D stochastic Navier-Stokes equations
F. Flandoli, M. Romito
We investigate the Markov property and the continuity with respect to the initial conditions (strong Feller property) for the solutions to the Navier-Stokes equations forced by an…
Statistics of a vortex filament model
Franco Flandoli, Massimiliano Gubinelli
A random field composed by Poisson distributed Brownian vortex filaments is constructed. The filament have a random thickness, length and intensity, governed by a measure . Unde…