Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global regular axially symmetric solutions to the Navier-Stokes
  equations   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.

0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys