Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On initial-boundary value problem of the stochastic Navier--Stokes
  equations in the half space   We study the initial-boundary value problem of the stochastic Navier--Stokes
equations in the half space. We prove the existence of weak solutions in the
standard Besov space valued random processes when the initial data belong to
the critical Besov space.

35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ