Time-dependent linear water-wave scattering in two dimensions by a generalized eigenfunction expansion

DOI10.1017/S002211200900723XzbMath1183.76638OpenAlexW2028660075MaRDI QIDQ3550297

Michael H. Meylan

Publication date: 31 March 2010

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s002211200900723x

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (5)

Fast and slow interaction of elastic waves with platonic clusters ⋮ The singularity expansion method and near-trapping of linear water waves ⋮ Water waves in the time domain ⋮ Global identities for water-wave scattering potentials ⋮ Generalized eigenfunction method for floating bodies

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Scattering theory for the d'Alembert equation in exterior domains
• Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
• Spectral Theory For an Elastic Thin Plate Floating on Water of Finite Depth
• TRAPPED MODES ABOVE A SUBMERGED HORIZONTAL PLATE
• Spectral solution of time-dependent shallow water hydroelasticity
• An example of non-uniqueness in the two-dimensional linear water wave problem
• Time-dependent water-wave scattering by arrays of cylinders and the approximation of near trapping
• Generalized eigenfunction expansions for conservative scattering problems with an application to water waves

This page was built for publication: Time-dependent linear water-wave scattering in two dimensions by a generalized eigenfunction expansion