Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Stability of Self-similar Blow-up for $C^{1,\alpha}$ Solutions to
  the Incompressible Euler Equations on $\mathbb{R}^3$   We study the stability of recently constructed self-similar blow-up solutions
to the incompressible Euler equation. A consequence of our work is the
existence of finite-energy $C^{1,\alpha}$ solutions that become singular in
finite time in a locally self-similar manner. As a corollary, we also observe
that the Beale-Kato-Majda criterion cannot be improved in the class of
$C^{1,\alpha}$ solutions.

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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
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The categories of this paper are: cs
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: nlin