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20082014
most citedGlobal regularity for a slightly supercritical hyperdissipative Navier-Stokes system

60 citations · 149 across the 11 of their papers we have counts for

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5 papers · 1 filter

math.PR2014

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…

math.PR2012★ 6 cited

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…

math.PR2012★ 24 cited

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…

math.PR2010★ 15 cited

Anomalous dissipation in a stochastic inviscid dyadic model

David Barbato, Franco Flandoli, Francesco Morandin

A stochastic version of an inviscid dyadic model of turbulence, with multiplicative noise, is proved to exhibit energy dissipation in spite of the formal energy conservation. As a…

math.PR2009★ 3 cited

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…