Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Blow up criterion of 3D-Navier-Stokes equation in $\dot H^{5/2}$   In this paper, we prove two results about the blow up criterion of the
three-dimensional incompressible Navier-Stokes equation in the sobolev space
$\dot H^{5/2}$. The first one improves the result of \cite{CZ}. The second
deals with the relationship of the blow up in $\dot H^{5/2}$ and some critical
spaces. Fourier analysis and standard techniques are used.

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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: eess