Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lagrangian aspects of the axisymmetric Euler equation   In this paper we are interested in geometric aspects of blowup in the
axisymmetric 3D Euler equations with swirl on a cylinder. Writing the equations
in Lagrangian form for the flow derivative along either the axis or the
boundary and imposing oddness on the vertical component of the flow, we extend
some blowup criteria due to Chae, Constantin, and Wu related to assumptions on
the sign of the pressure Hessian. In addition we give a geometric
interpretation of the results, both in terms of the local geometry along
trajectories and in terms of the Riemannian geometry of the volume-preserving
diffeomorphism group.

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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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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: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci