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

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

2007-02-23

arxiv.org/abs/math/0702720v1

Mathematics

Analysis of PDEs

25 pages

Scientific paper

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.

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