Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system
Analysis of PDEs
2016-01-20 v1
Abstract
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 proves a conjecture formulated by Tao [Tao2009].
Cite
@article{arxiv.1407.6734,
title = {Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system},
author = {David Barbato and Francesco Morandin and Marco Romito},
journal= {arXiv preprint arXiv:1407.6734},
year = {2016}
}