Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal control problems with state constraint governed by Navier-Stokes
  equations   This work deals with the existence of optimal solution and the maximum
principle for optimal control problem governed by Navier-Stokes equations with
state constraint in 3-D. Strong results in 2-D also are given.

31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin