Trapped modes in elastic plates, ocean and quantum waveguides

DOI10.1016/j.wavemoti.2007.11.002zbMath1231.74184OpenAlexW2046555592MaRDI QIDQ661634

Julia Postnova, Richard V. Craster

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2007.11.002

zbMATH Keywords

resonance frequencyasymptotic expansiongroup velocitytrapped modes

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Linear waves in solid mechanics (74J05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (10)

Isobath variation and trapping of continental shelf waves ⋮ Scattering and embedded trapped modes for an infinite nonhomogeneous Timoshenko beam ⋮ Rayleigh-Bloch, topological edge and interface waves for structured elastic plates ⋮ Long-wave asymptotic theories: the connection between functionally graded waveguides and periodic media ⋮ Wave trapping in a two-dimensional sound-soft or sound-hard acoustic waveguide of slowly-varying width ⋮ Trapped modes in coastal waveguides ⋮ Localised continental shelf waves: geometric effects and resonant forcing ⋮ Trapped continental shelf waves with a free surface ⋮ On the acoustic trapped modes and their symmetry properties in a circular cylindrical waveguide with a cavity ⋮ Experimental study on water-wave trapped modes

Cites Work

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• Trapped modes in curved elastic plates
• Rayleigh waves guided by topography
• Trapped edge waves in stratified rotating fluids: numerical and asymptotic results
• Existence of Eigenvalues of a Linear Operator Pencil in a Curved Waveguide---Localized Shelf Waves on a Curved Coast
• Trapped modes for an elastic strip with perturbation of the material properties

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