Remarks on Regularity Criteria for Axially Symmetric Weak Solutions to the Navier-Stokes Equations, II
Analysis of PDEs
2015-06-05 v2 Mathematical Physics
math.MP
Abstract
We examine the conditional regularity of the solutions of Navier-Stokes equations in the entire three-dimensional space under the assumption that the data are axially symmetric. We show that if positive part of the radial component of velocity satisfies a weighted Serrin condition and in addition angular component satisfies some condition, then the solution is regular.
Keywords
Cite
@article{arxiv.1206.4567,
title = {Remarks on Regularity Criteria for Axially Symmetric Weak Solutions to the Navier-Stokes Equations, II},
author = {Adam Kubica},
journal= {arXiv preprint arXiv:1206.4567},
year = {2015}
}