Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global regularity for a slightly supercritical hyperdissipative
  Navier-Stokes system   We prove global existence of smooth solutions for a slightly supercritical
hyperdissipative Navier--Stokes under the optimal condition on the correction
to the dissipation. This proves a conjecture formulated by Tao [Tao2009].

16
The categories of this paper are: stat
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th