Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Applications of parabolic Dirac operators to the instationary viscous
  MHD equations on conformally flat manifolds   In this paper we apply classical and recent techniques from quaternionic
analysis using parabolic Dirac type operators and related Teodorescu and
Cauchy-Bitzadse type operators to set up some analytic representation formulas
for the solutions to the time depedendent incompressible viscous
magnetohydrodynamic equations on some conformally flat manifolds, such as
cylinders and tori associated with different spinor bundles. Also in this
context a special variant of hypercomplex Eisenstein series related to the
parabolic Dirac operator serve as kernel functions.

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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: econ