Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An elementary proof of the global existence and uniqueness theorem to
  2-D incompressible non-resistive MHD system   In this paper, we provide a much simplified proof of the main result in [Lin,
Xu, Zhang, arXiv:1302.5877] concerning the global existence and uniqueness of
smooth solutions to the Cauchy problem for a 2D incompressible viscous and
non-resistive MHD system under the assumption that the initial data are close
to some equilibrium states. Beside the classical energy method, the
interpolating inequalities and the algebraic structure of the equations coming
from the incompressibility of the fluid are crucial in our arguments. We
combine the energy estimates with the $L^\infty$ estimates for time slices to
deduce the key $L^1$ in time estimates. The latter is responsible for the
global in time existence.

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The categories of this paper are: cs
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: stat