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math.AP2014★ 60 cited
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…
math.AP2014
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…