Johnson, E.R.;
Levitin, M.;
Parnovski, L.;
(2006)
Existence of eigenvalues of a linear operator pencil in a curved waveguide - localized shelf waves on a curved coast.
SIAM Journal on Mathematical Analysis
, 37
(5)
pp. 1465-1481.
10.1137/040615936.
![[thumbnail of 9029.pdf]](https://discovery.ucl.ac.uk/style/images/fileicons/application_pdf.png) Preview |
PDF
9029.pdf Download (200kB) |
Abstract
The question of the existence of nonpropagating, trapped continental shelf waves (CSWs) along curved coasts reduces mathematically to a spectral problem for a self-adjoint operator pencil in a curved strip. Using methods developed for the waveguide trapped mode problem, we show that such CSWs exist for a wide class of coast curvature and depth profiles.
| Type: | Article |
|---|---|
| Title: | Existence of eigenvalues of a linear operator pencil in a curved waveguide - localized shelf waves on a curved coast |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1137/040615936 |
| Publisher version: | http://dx.doi.org/10.1137/040615936 |
| Language: | English |
| Additional information: | Published by Society for Industrial and Applied Mathematics |
| Keywords: | Continental shelf waves, curved coasts, trapped modes, essential spectrum, operator pencil |
| URI: | https://discovery.ucl.ac.uk/id/eprint/9029 |
Archive Staff Only
 |
View Item |
