Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On boundedness, existence and uniqueness of strong solutions of the
  Navier-Stokes Equations in 3 dimensions   In this paper we consider the Navier-Stokes Equations in 3 dimensions in the
vorticity formulation in the absence of the external forces. We derive upper
bounds on L_{infinity} norm of omega and use them together with the Local
Existence and Uniqueness results to show Global Existence and Uniqueness of the
solution provided that at t=0, L_{infinity} norm of omega is finite, or L_4
norm of omega is finite.

20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol