Existence of eigenvalues of a linear operator pencil in a curved waveguide -- localized shelf waves on a curved coast
Spectral Theory
2007-05-23 v1
Abstract
The study of the possibility of existence of the non-propagating, 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 the methods developed in the setting of the waveguide trapped mode problem, we show that such CSWs exist for a wide class of coast curvature and depth profiles.
Keywords
Cite
@article{arxiv.math/0409575,
title = {Existence of eigenvalues of a linear operator pencil in a curved waveguide -- localized shelf waves on a curved coast},
author = {E R Johnson and Michael Levitin and Leonid Parnovski},
journal= {arXiv preprint arXiv:math/0409575},
year = {2007}
}
Comments
21 pages, 1 figure