Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Strong and Weak Solutions to the Initial-boundary-value Problem
  of 2D Compressible MHD System with Large Initial Data and Vacuum   In this paper, we study the barotropic compressible magnetohydrodynamic
equations with the shear viscosity being a positive constant and the bulk one
being proportional to a power of the density in a general two-dimensional
bounded simply connected domain. For initial density allowed to vanish, we
prove that the initial-boundary-value problem of 2D compressible MHD system
admits the global strong and weak solutions without any restrictions on the
size of initial data provided the shear viscosity is a positive constant and
bulk one is $\lambda=\rho^\beta$ with $\beta>4/3$. As we known, this is the
first result concerning the global existence of strong solutions to the
compressible MHD system in general two-dimensional bounded domains with large
initial data and vacuum.

31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an