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An Isaac Newton Institute Workshop

Graph Models of Mesoscopic Systems, Wave-Guides and Nano-Structures

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

Author: L. Parnovski (University College London)

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)