Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Norm inflation for incompressible magneto-hydrodynamic system ]{Norm
  inflation for incompressible magneto-hydrodynamic system in
  $\dot{B}_{\infty}^{-1,\infty}$   We demonstrate that the solutions to the Cauchy problem for the three
dimensional incompressible magneto-hydrodynamics (MHD) system can develop
diferent types of norm inflations in $\dot{B}_{\infty}^{-1, \infty}$.
Particularly the magnetic field can develop norm inflation in short time even
when the velocity remains small and vice verse. Efforts are made to present a
very expository development of the inginious construction of Bourgain and
Pavlovi\'{c} for Navier-Stokes equation.

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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph