Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global well-posedness of the two-dimensional exterior Navier-Stokes
  equations for non-decaying data   We prove global well-posedness of the two-dimensional exterior Navier-Stokes
equations for bounded initial data with a finite Dirichlet integral, subject to
the non-slip boundary condition. As an application, we construct global
solutions for asymptotically constant initial data and arbitrary large Reynolds
numbers.

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The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat