Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large-amplitude steady solitary water waves with constant vorticity   This paper considers two-dimensional steady solitary waves with constant
vorticity propagating under the influence of gravity over an impermeable flat
bed. Unlike in previous works on solitary waves, we allow for both internal
stagnation points and overhanging wave profiles. Using analytic global
bifurcation theory, we construct continuous curves of large-amplitude
solutions. Along these curves, either the wave amplitude approaches the maximum
possible value, the dimensionless wave speed becomes unbounded, or a
singularity develops in a conformal map describing the fluid domain. We also
show that an arbitrary solitary wave of elevation with constant vorticity must
be supercritical. The existence proof relies on a novel reformulation of the
problem as an elliptic system for two scalar functions in a fixed domain, one
describing the conformal map of the fluid region and the other the flow beneath
the wave.

3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc