Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Steady internal water waves with a critical layer bounded by the wave
  surface   In this paper we construct small amplitude periodic internal waves traveling
at the boundary region between two rotational and homogeneous fluids with
different densities. Within a period, the waves we obtain have the property
that the gradient of the stream function associated to the fluid beneath the
interface vanishes, on the wave surface, at exactly two points. Furthermore,
there exists a critical layer which is bounded from above by the wave profile.
Besides, we prove, without excluding the presence of stagnation points, that if
the vorticity function associated to each fluid in part is real-analytic,
bounded, and non-increasing, then capillary-gravity steady internal waves are a
priori real-analytic. Our new method provides the real-analyticity of capillary
and capillary-gravity waves with stagnation points traveling over a homogeneous
rotational fluid under the same restrictions on the vorticity function.

11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph