Wave interaction with two-dimensional bodies floating in a two-layer fluid: uniqueness and trapped modes

DOI10.1017/S0022112003005354zbMath1063.76007OpenAlexW2161949628MaRDI QIDQ4467451

M. McIver, P. McIver, Nikolay Kuznetsov

Publication date: 9 June 2004

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

Full work available at URL: https://doi.org/10.1017/s0022112003005354

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Internal waves for incompressible inviscid fluids (76B55)

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Trapped modes and scattering for oblique waves in a two-layer fluid ⋮ Spectrum of the linear water model for a two‐layer liquid with cuspidal geometries at the interface ⋮ Trapped modes in a fluid with three layers topped by a rigid lid ⋮ Trapped modes along periodic structures submerged in a two‐layer fluid with background steady flow ⋮ Wave trapping by freely floating obstacles in a discretely stratified fluid ⋮ Embedded trapped modes in water waves and acoustics ⋮ Trapped modes and resonances for thin horizontal cylinders in a two-layer fluid ⋮ Asymptotic properties of the spectrum in the problem on waves in a bounded volume on a two-layer fluid ⋮ Linearised theory for surface and interfacial waves interacting with freely floating bodies in a two-layer fluid

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