Existence of Eigenvalues of a Linear Operator Pencil in a Curved Waveguide - Localized Shelf Waves on a Curved Coast
نویسندگان
چکیده
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 selfadjoint 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.
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 37 شماره
صفحات -
تاریخ انتشار 2006