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Localized shelf waves on a curved coast - existence of eigenvalues of a linear operator pencil in a curved waveguide

Date: 
Friday 13th April 2007 - 14:00 to 15:00
Venue: 
INI Seminar Room 1
Session Chair: 
P Kuchment
Abstract: 

The study of the possibility of the non-propagating, trapped continental shelf waves 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 continental shelf waves exist for a wide class of coast curvature and depth profiles. This is joint work with Ted Johnson (UCL) and Michael Levitin (Heriot-Watt)

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons