Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Filamentation near Hill's vortex   For the axisymmetric incompressible Euler equations, we prove linear in time
filamentation near Hill's vortex: there exists an arbitrary small outward
perturbation growing linearly for all times. This is based on combining the
recent nonlinear orbital stability obtained in [13] with a dynamical
bootstrapping scheme for particle trajectories. These results rigorously
confirm numerical simulations by Pozrikidis [45] in 1986.

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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc