Complex Resonant Ice Shelf Vibrations

DOI10.1137/20M1385172zbMath1479.35865OpenAlexW3183373903MaRDI QIDQ5002515

Luke G. Bennetts, Michael H. Meylan

Publication date: 27 July 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1385172

zbMATH Keywords

homotopyhydroelasticitythin elastic platecomplex resonancesice shelf vibrations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Glaciology (86A40) Resonance in context of PDEs (35B34) PDEs in connection with geophysics (35Q86)

Cites Work

• The interaction of flexural-gravity waves with periodic geometries
• On the shallow-water limit for modelling ocean-wave induced ice-shelf vibrations
• Trapping and near-trapping by arrays of cylinders in waves
• Effective wave propagation along a rough thin-elastic beam
• Extraordinary acoustic transmission, symmetry, Blaschke products and resonators
• The motion of a freely floating cylinder in the presence of a wall and the approximation of resonances
• Visual Complex Functions
• A multi-mode approximation to wave scattering by ice sheets of varying thickness
• The singularity expansion method and near-trapping of linear water waves
• The Singularity Expansion Method applied to the transient motions of a floating elastic plate
• Wave scattering by multiple rows of circular ice floes
• The decay of flexural-gravity waves in long sea ice transects
• Determination of Scattering Frequencies for an Elastic Floating Body
• Radiation of water waves by a heaving submerged horizontal disc
• Scattering and near-trapping of water waves by axisymmetric topography
• Complex resonances in the water-wave problem for a floating structure

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