Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditions implying regularity of the three dimensional Navier-Stokes
  equation   We obtain logarithmic improvements for conditions for regularity of the
Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda.
Some of the proofs make use of a stochastic approach involving Feynman-Kac like
inequalities. As part of the our methods, we give a different approach to a
priori estimates of Foias, Guillope and Temam.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an