Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Benjamin-Ono approximation for 2D gravity water waves with constant
  vorticity   This article is concerned with infinite depth gravity water waves with
constant vorticity in two space dimensions. We consider this system expressed
in position-velocity potential holomorphic coordinates. We show that, for
low-frequency solutions, the Benjamin-Ono equation gives a good and stable
approximation to the system on the natural cubic time scale. The proof relies
on refined cubic energy estimates and perturbative analysis.

31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an