Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of Smooth Solutions of the Navier-Stokes Equations   In this paper, we prove existence of smooth solutions of the Navier-Stokes
equations that gives a positive answer to the problem proposed by Fefferman
[3].

1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org