Global regularity for a logarithmically supercritical hyperdissipative dyadic equation
Analysis of PDEs
2014-03-19 v2
Abstract
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] and add a viscosity term with critical exponent and a supercritical correction. This model catches for the dyadic a conjecture that for Navier-Stokes equations was formulated by Tao [2009].
Keywords
Cite
@article{arxiv.1403.2852,
title = {Global regularity for a logarithmically supercritical hyperdissipative dyadic equation},
author = {David Barbato and Francesco Morandin and Marco Romito},
journal= {arXiv preprint arXiv:1403.2852},
year = {2014}
}