Existence of Eigenvalues of a Linear Operator Pencil in a Curved Waveguide---Localized Shelf Waves on a Curved Coast

DOI10.1137/040615936zbMath1141.76014arXivmath/0409575OpenAlexW2127905060MaRDI QIDQ5470607

Michael Levitin, E. R. Johnson, Leonid Parnovski

Publication date: 31 May 2006

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409575

zbMATH Keywords

essential spectrum operator pencil trapped modes continental shelf waves curved coasts

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05)

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Isobath variation and trapping of continental shelf waves ⋮ Comparative analysis of electric field influence on the quantum wells with different boundary conditions. ⋮ Trapped modes in elastic plates, ocean and quantum waveguides ⋮ Waveguides with combined Dirichlet and Robin boundary conditions ⋮ Trapped modes in coastal waveguides ⋮ Spectrum of the Laplacian in a narrow curved strip with combined Dirichlet and Neumann boundary conditions ⋮ Computation of scattering matrices and their derivatives for waveguides ⋮ Localised continental shelf waves: geometric effects and resonant forcing ⋮ Trapped continental shelf waves with a free surface ⋮ Bay-trapped low-frequency oscillations in lakes

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