Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Well-posedness of the Chemotaxis-Navier-Stokes Equations in two
  dimensions   We consider two dimensional Keller-Segel equations coupled with the
Navier-Stokes equations modelled by Tuval et al.[32]. Assuming that the
chemotactic sensitivity and oxygen consumption rate are nondecreasing and
differentiable, we prove that there is no blow-up in a finite time for
solutions with large initial data to chemotaxis-Navier-Stokes equations in two
dimensions. In addition, temporal decays of solutions are shown, as time tends
to infinity.

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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
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The categories of this paper are: math-ph
9
The categories of this paper are: nlin
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The categories of this paper are: acc-phys
10
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: stat
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an