Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Space-time resolved measurements of the effect of pinned contact line on
  the dispersion relation of water waves   We report on an experimental investigation of the propagation of
gravity-capillary waves in a narrow channel with a pinned contact line. By
using Fourier Transform Profilometry (FTP) we measure the static curved
meniscus as well as the surface perturbation. By varying the channel width,
between 7 and 15 times the capillary length, we show how edge constraints
modify the surface curvature and therefore the dispersion relation. From the
space-time resolved field, we obtain a decomposition of the linear mode onto
transverse modes satisfying the condition of pinned contact line. This
approach, in which we complement the theoretical model with experimental
analysis, allows computations of wavenumbers and natural frequencies with a
robust statistics. We verify experimentally the convergence of the model and
the pertinence of the linear approximation. In addition, we analyze the
relative contribution of the experimentally measured static meniscus. An
excellent agreement between the computed natural frequencies and the forcing
frequency confirms the contribution of the actual space-time resolved measured
surface. These experimental results are an accurate estimation of the influence
of the additional restoring force exerted by the pinned contact line on the
deformed surface which increases the wave celerity. The local character of this
effect is evidenced by the decrease of the shift of the dispersion relation as
a function of the channel width.

22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess