A Note On Local Regularity of Axisymmetric Solutions to the Navier-Stokes Equations
Analysis of PDEs
2022-03-09 v1
Abstract
In the paper, a new {\it slightly supercritical} condition, providing {\it local} regularity of axially symmetric solutions to the non-stationary 3D Navier-Stokes equations, is discussed. It generalises almost all known results in the local regularity theory of weak axisymmetric solutions.
Keywords
Cite
@article{arxiv.2201.00153,
title = {A Note On Local Regularity of Axisymmetric Solutions to the Navier-Stokes Equations},
author = {Gregory Seregin},
journal= {arXiv preprint arXiv:2201.00153},
year = {2022}
}
Comments
20 pages