Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinite growth in vorticity gradient of compactly supported planar
  vorticity near Lamb dipole   We prove linear in time filamentation for perturbations of the Lamb dipole,
which is a traveling wave solution to the incompressible Euler equations in
$\mathbb{R}^2$. The main ingredient is a recent nonlinear orbital stability
result by Abe-Choi. As a consequence, we obtain linear in time growth for the
vorticity gradient for all times, for certain smooth and compactly supported
initial vorticity in $\mathbb{R}^2$. The construction carries over to some
generalized SQG equations.

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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th