Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravity-capillary waves in reduced models for wave-structure
  interactions   In order to determine the steady-state subcritical gravity-capillary waves
that are produced by potential flow past a wave-making body, it is typically
necessary to impose a radiation condition that allows for capillary waves
upstream, but disallows those corresponding to gravity. However, this radiation
condition is not known a priori and consequently, the computation of accurate
numerical solutions to the steady-state problem remains problematic. Although
the physical model might be modified (e.g. with viscosity), recovery of the
original problem is not always possible.
  In this work, we discuss the above radiation problem, and show how, in the
low-speed limit, the steady gravity-capillary waves can be resolved using a
Sommerfeld-type boundary condition applied to an asymptotically reduced set of
water-wave equations. These results allow us to validate the specialized
classes of low-speed waves theoretically predicted by Trinh & Chapman (2013)
using methods in exponential asymptotics [J. Fluid Mech. 724, pp. 392--424].
The issues of numerically solving the full set of gravity-capillary equations
for a potential flow are discussed, and the sensitivity to errors in the
boundary conditions is clearly demonstrated.

34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con