Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A lower bound on blowup rates for the 3D incompressible Euler equation
  and a single exponential Beale-Kato-Majda type estimate   We prove a Beale-Kato-Majda type criterion for the loss of regularity for
solutions of the incompressible Euler equations in $H^{s}({\mathbb R}^3)$, for
$s>\frac52$. Instead of double exponential estimates of Beale-Kato-Majda type,
we obtain a single exponential bound on $\|u(t)\|_{H^s}$ involving the length
parameter introduced by P. Constantin in \cite{co1}. In particular, we derive
lower bounds on the blowup rate of such solutions.

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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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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: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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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: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg