Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global strong solutions to the planar compressible magnetohydrodynamic
  equations with large initial data and vaccum   This paper considers the initial boundary problem to the planar compressible
magnetohydrodynamic equations with large initial data and vacuum. The global
existence and uniqueness of large strong solutions are established when the
heat conductivity coefficient $\kappa(\theta)$ satisfies \begin{equation*}
C_{1}(1+\theta^q)\leq \kappa(\theta)\leq C_2(1+\theta^q) \end{equation*} for
some constants $q>0$, and $C_1,C_2>0$.

0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th