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Existence of eigenvalues of a linear operator pencil in a curved waveguide - localized shelf waves on a curved coast

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. Green open access

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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
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/14053
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