On trapping of surface water waves by cylindrical bodies in a channel

DOI10.1016/j.wavemoti.2008.05.002zbMath1231.76049OpenAlexW1985583754MaRDI QIDQ661691

Oleg V. Motygin

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2008.05.002

zbMATH Keywords

comparison theoremspectrumfluid mechanicswavetrapped modebody interactionlinear surface wave theorymonotonicity principle

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (max. 100)

Simple method for finding trapped modes in problems of the linear theory of surface waves ⋮ Trapped surface waves in a periodic layer of a heavy liquid ⋮ Incomplete comparison principle in problems about surface waves trapped by fixed and freely floating bodies ⋮ Curved channels with constant cross sections may support trapped surface waves ⋮ Two-sided estimates for eigenfrequencies in the John problem for a freely floating body ⋮ Sufficient conditions on the existence of trapped modes in problems of the linear theory of surface waves ⋮ Trapped modes in a linear problem of the theory of surface water waves ⋮ An Infinite-Length System Possessing a Unique Trapped Mode Versus a Single Degree of Freedom System: A Comparative Study in the Case of Time-Varying Parameters ⋮ Non-stationary localized oscillations of an infinite string, with time-varying tension, lying on the Winkler foundation with a point elastic inhomogeneity

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