Trapped modes supported by submerged obstacles

DOI10.1098/rspa.2000.0589zbMath0986.76010OpenAlexW2170042236MaRDI QIDQ2713393

M. McIver

Publication date: 7 May 2001

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

Full work available at URL: https://doi.org/10.1098/rspa.2000.0589

zbMATH Keywords

non-uniquenesssingular solutionswater wavesvelocity potentialLaplace's equationtrapped modesinverse proceduresubmerged obstaclesfree-surface boundary conditionexistence of closed streamlines

Mathematics Subject Classification ID

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

Related Items (10)

Multiple wave scattering by submerged obstacles in an infinite channel of finite depth. I: Streamlines ⋮ The effect of surface tension on trapped modes in water-wave problems ⋮ Unique solvability and non-uniqueness in the problem of forward motion of bodies in a two-layer fluid ⋮ On the unique solvability of a problem on water waves above submerged bodies ⋮ Embedded trapped modes in water waves and acoustics ⋮ Trapped modes in a two-layer fluid of finite depth bounded above by a rigid lid ⋮ Trapped modes in a linear problem of the theory of surface water waves ⋮ Time-dependent water-wave scattering by arrays of cylinders and the approximation of near trapping ⋮ Experimental study on water-wave trapped modes ⋮ The effect of surface tension on localized free-surface oscillations about surface-piercing bodies

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