60 citations · 164 across the 20 of their papers we have counts for
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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.AP2012★ 13 cited
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…
math.AP2012★ 1 cited
Positive and non-positive solutions for an inviscid dyadic model. Well-posedness and regularity
David Barbato, Francesco Morandin
We improve regolarity and uniqueness results from the literature for the inviscid dyadic model. We show that positive dyadic is globally well-posed for every rate of growth of…