Determination of Scattering Frequencies for an Elastic Floating Body

DOI10.1137/0524084zbMath0784.76013OpenAlexW4311727344MaRDI QIDQ4274469

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Publication date: 6 January 1994

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

Full work available at URL: https://doi.org/10.1137/0524084

zbMATH Keywords

series expansionvariational formulationnonlinear eigenvalue problemcompact operatorresonancesanalytic continuationtime-harmonic motions

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Scattering theory for PDEs (35P25) Eigenvalue problems for linear operators (47A75) Continuation and prolongation of solutions to PDEs (35B60)

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The singularity expansion method and near-trapping of linear water waves ⋮ Absorbing boundary conditions for acoustic models at low viscosity in a waveguide ⋮ A Sufficient Condition for the Absence of Two-Dimensional Instabilities of an Elastic Plate in a Duct with Compressible Flow ⋮ The Singularity Expansion Method applied to the transient motions of a floating elastic plate ⋮ The motion of a freely floating cylinder in the presence of a wall and the approximation of resonances ⋮ Embedded trapped modes in water waves and acoustics ⋮ On Well-Posedness of Scattering Problems in a Kirchhoff--Love Infinite Plate ⋮ Numerical stability in the calculation of eigenfrequencies using integral equations ⋮ Time-dependent water-wave scattering by arrays of cylinders and the approximation of near trapping ⋮ Complex Resonant Ice Shelf Vibrations ⋮ Variational Methods for Acoustic Radiation in a Duct with a Shear Flow and an Absorbing Boundary ⋮ Non-reflecting boundary conditions for acoustic propagation in ducts with acoustic treatment and mean flow

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