Global regular axially symmetric solutions to the Navier-Stokes equations
Analysis of PDEs
2013-03-06 v1
Abstract
The existence of global regular axially symmetric solutions to the Navier-Stokes equations in a bounded cylinder is proved. The main step in the proof is a proof of the Holder continuity of the swirl. This gives a possibility to prove global a priori estimate for regular solutions. Then a local solution can be extended step by step in time.
Keywords
Cite
@article{arxiv.1303.0992,
title = {Global regular axially symmetric solutions to the Navier-Stokes equations},
author = {Wojciech Zajaczkowski},
journal= {arXiv preprint arXiv:1303.0992},
year = {2013}
}