60 citations · 149 across the 11 of their papers we have counts for
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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…
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…
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…
Smooth solutions for the dyadic model
David Barbato, Francesco Morandin, Marco Romito
We consider the dyadic model, which is a toy model to test issues of well-posedness and blow-up for the Navier-Stokes and Euler equations. We prove well-posedness of positive solut…
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…