Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A sufficient condition of regularity for axially symmetric solutions to
  the Navier-Stokes equations   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.

25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con