Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stokes waves in a constant vorticity flow   The Stokes wave problem in a constant vorticity flow is formulated via a
conformal mapping as a modified Babenko equation. The associated linearized
operator is self-adjoint, whereby efficiently solved by the Newton-conjugate
gradient method. For strong positive vorticity, a fold develops in the wave
speed versus amplitude plane, and a gap as the vorticity strength increases,
bounded by two touching waves, whose profile contacts with itself, enclosing a
bubble of air. More folds and gaps follow as the vorticity strength increases
further. Touching waves at the beginnings of the lowest gaps tend to the
limiting Crapper wave as the vorticity strength increases indefinitely, while a
fluid disk in rigid body rotation at the ends of the gaps. Touching waves at
the boundaries of higher gaps contain more fluid disks.

22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol