Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Liouville Theorem for 2D Navier-Stokes equations in Half Space   In the paper, a Liouville theorem for mild bounded ancient solutions to the
2D Navier-Stokes equations in half space has been proven.

1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn