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

Parnovski, L (University College London)
Friday 13 April 2007, 14:00-15:00

Seminar Room 1, Newton Institute


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)


[pdf ]




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