Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of weak solutions to the three-dimensional density-dependent
  generalized incompressible magnetohydrodynamic flows   In this paper we consider the equations of the unsteady viscous,
incompressible, and heat conducting magnetohydrodynamic flows in a bounded
three-dimensional domain with Lipschitz boundary. By an approximation scheme
and a weak convergence method, the existence of a weak solution to the
three-dimensional density dependent generalized incompressible
magnetohydrodynamic equations with large data is obtained.

12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph