3 citations · 7 across the 6 of their papers we have counts for
7 papers
Well Posedness for Positive Dyadic Model
David Barbato, Franco Flandoli, Francesco Morandin
We consider the solutions of the Cauchy problem for a dyadic model of Euler equations. We prove global existence and uniqueness of Leray-Hopf solutions in a rather large class K th…
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…
Remarks on the K41 scaling law in turbulent fluids
F. Flandoli, M. Gubinelli, M. Hairer +1
A definition of K41 scaling law for suitable families of measures is given and investigated. First, a number of necessary conditions are proved. They imply the absence of scaling l…
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…
On a relation between stochastic integration and geometric measure theory
Franco Flandoli, Mariano Giaquinta, Massimiliano Gubinelli +1
Two problems are addressed for the path of certain stochastic processes: a) do they define currents? b) are these currents of a classical type? A general answer to question a) is g…