Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some Serrin type blow-up criteria for the three-dimensional viscous
  compressible flows with large external potential force   We provide a Serrin type blow-up criterion for the 3-D viscous compressible
flows with large external potential force. For the Cauchy problem of the 3-D
compressible Navier-Stokes system with potential force term, it can be proved
that the strong solution exists globally if the velocity satisfies the Serrin's
condition and the sup-norm of the density is bounded. Furthermore, in the case
of isothermal flows with no vacuum, the Serrin's condition on the velocity can
be removed from the claimed criterion.

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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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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: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat