On frequency bounds for modes trapped near a channel-spanning cylinder

DOI10.1098/RSPA.2000.0646zbMath0989.35111OpenAlexW2147211156MaRDI QIDQ2748116

Oleg V. Motygin

Publication date: 14 October 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.2000.0646

zbMATH Keywords

uniquenessmaximum principlesGreen's functionBessel functionslower boundstrapped modelinear surface wave

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Estimates of eigenvalues in context of PDEs (35P15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (2)

On trapping of surface water waves by cylindrical bodies in a channel ⋮ Trapped modes in a linear problem of the theory of surface water waves

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