60 citations · 149 across the 11 of their papers we have counts for
12 papers
Strong existence and uniqueness of the stationary distribution for a stochastic inviscid dyadic model
Luisa Andreis, David Barbato, Francesca Collet +2
We consider an inviscid stochastically forced dyadic model, where the additive noise acts only on the first component. We prove that a strong solution for this problem exists and i…
Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system
David Barbato, Francesco Morandin, Marco Romito
We prove global existence of smooth solutions for a slightly supercritical hyperdissipative Navier--Stokes under the optimal condition on the correction to the dissipation. This pr…
Global regularity for a logarithmically supercritical hyperdissipative dyadic equation
David Barbato, Francesco Morandin, Marco Romito
We prove global existence of smooth solutions for a slightly supercritical dyadic model. We consider a generalized version of the dyadic model introduced by Katz-Pavlovic [2005] an…
Stochastic inviscid shell models: well-posedness and anomalous dissipation
D. Barbato, F. Morandin
In this paper we study a stochastic version of an inviscid shell model of turbulence with multiplicative noise. The deterministic counterpart of this model is quite general and inc…
On a Stochastic Leray-α model of Euler equations
David Barbato, Hakima Bessaih, Benedetta Ferrario
We deal with the 3D inviscid Leray-α model. The well posedness for this problem is not known; by adding a random perturbation we prove that there exists a unique (in law) global so…
A dyadic model on a tree
David Barbato, Luigi Amedeo Bianchi, Franco Flandoli +1
We study an infinite system of non-linear differential equations coupled in a tree-like structure. This system was previously introduced in the literature and it is the model from…