Trapping of water waves by freely floating structures in a channel

DOI10.1098/rspa.2011.0288zbMath1243.76015OpenAlexW2154827890MaRDI QIDQ2901823

Juha H. Videman, Sergueï A. Nazarov

Publication date: 31 July 2012

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2011.0288

zbMATH Keywords

spectral problemwater wavesfreely floating structuresself-adjoint trace operatorsufficient conditions for trapped modes

Mathematics Subject Classification ID

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

Related Items (10)

On the coupled time-harmonic motion of deep water and a freely floating body: trapped modes and uniqueness theorems ⋮ A cliffed cape does not trap water waves in the sea of constant depth ⋮ Incomplete comparison principle in problems about surface waves trapped by fixed and freely floating bodies ⋮ Wave trapping by freely floating obstacles in a discretely stratified fluid ⋮ Trapped-wave modes of bodies in channels ⋮ Two-sided estimates for eigenfrequencies in the John problem for a freely floating body ⋮ Properties of the spectrum in the John problem on a freely floating submerged body in a finite basin ⋮ Criteria for trapped modes in a cranked channel with fixed and freely floating bodies ⋮ Trapped modes along a periodic array of freely floating obstacles ⋮ Linearised theory for surface and interfacial waves interacting with freely floating bodies in a two-layer fluid

Cites Work

• Embedded trapped modes in water waves and acoustics
• Trapping of water waves by moored bodies
• Motion trapping structures in the three-dimensional water-wave problem
• Existence of edge waves along three-dimensional periodic structures
• On the Existence of Trapped Modes in Channels of Arbitrary Cross-section
• Water-wave trapping by floating circular cylinders
• Eigenfunction expansions for objects floating in an open sea
• Existence theorems for trapped modes
• A sufficient condition for the existence of trapped modes for oblique waves in a two-layer fluid
• Trapped modes in the water-wave problem for a freely floating structure
• Wave-free motions of isolated bodies and the existence of motion-trapped modes
• On the motion of floating bodies. I

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