Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Singular Vortex Patches, II: Long-time dynamics   In a companion paper, we gave a detailed account of the well-posedness theory
for singular vortex patches. Here, we discuss the long-time dynamics of some of
the classes of vortex patches we showed to be globally well-posed in the
companion work. In particular, we give examples of time-periodic behavior, cusp
formation in infinite time at an exponential rate, and spiral formation in
infinite time.

32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
18
The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
9
The categories of this paper are: nlin