A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations

Grigory Seregin; Wojciech Zajaczkowski

A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations

Analysis of PDEs 2007-05-23 v1

Authors: Grigory Seregin , Wojciech Zajaczkowski

Abstract

In the present paper, we prove a sufficient condition of local regularity for suitable weak solutions to the Navier-Stokes equations having axial symmetry. Our condition is an axially symmetric analog of the so-called $L_{3,\infty}$ -case in the general local regularity theory.

Keywords

Navier-Stokes equations axial symmetry local regularity suitable weak solutions L_{3,infty} condition

Cite

@article{arxiv.math/0702720,
  title  = {A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations},
  author = {Grigory Seregin and Wojciech Zajaczkowski},
  journal= {arXiv preprint arXiv:math/0702720},
  year   = {2007}
}

Comments

25 pages

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