Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Refined blow up criteria for the full compressible Navier-Stokes
  equations involving temperature   In this paper, inspired by the study of the energy flux in local energy
inequality of the 3D incompressible Navier-Stokes equations, we improve almost
all the blow up criteria involving temperature to allow the temperature in its
scaling invariant space for the 3D full compressible Navier-Stokes equations.
Enlightening regular criteria via pressure $\Pi=\frac{\text
{divdiv}}{-\Delta}(u_{i}u_{j})$ of the 3D incompressible Navier-Stokes
equations on bounded domain, we generalize Beirao da Veiga's result in [1] from
the incompressible Navier-Stokes equations to the isentropic compressible
Navier-Stokes system in the case away from vacuum.

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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph