Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global well-posedness for the 2D micropolar Rayleigh-B\'{e}nard
  convection problem   In this article, we study the Cauchy problem to the micropolar
Rayleigh-B\'{e}nard convection problem without velocity dissipation in two
dimension. We first prove the local well-posedness of a smooth solution, and
then establish a blow up criterion in terms of the gradient of scalar
temperature field. At last, we obtain the global well-posedness to the system.

16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin