Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local well-posedness to the 2D Cauchy problem of full compressible
  magnetohydrodynamic equations with vacuum at infinity   This paper concerns the Cauchy problem of two-dimensional (2D) full
compressible magnetohydrodynamic (MHD) equations in the whole plane
$\mathbb{R}^2$ with zero density at infinity. By spatial weighted energy
method, we derive the local existence and uniqueness of strong solutions
provided that the initial density and the initial magnetic field decay not too
slowly at infinity. Note that the initial temperature does not need to decay
slowly at infinity. In particular, vacuum states at both the interior domain
and the far field are allowed.

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The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn