A body traps as many water-wave modes in a symmetric channel as it wishes

DOI10.1134/S1061920811020075zbMath1251.35088OpenAlexW2011877129MaRDI QIDQ455580

Sergueï A. Nazarov

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920811020075

Mathematics Subject Classification ID

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

Related Items (2)

Spectrum of the linear water model for a two‐layer liquid with cuspidal geometries at the interface ⋮ Properties of the spectrum in the John problem on a freely floating submerged body in a finite basin

Cites Work

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• Embedded trapped modes in water waves and acoustics
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Water-waves modes trapped in a canal by a near-surface rough body
• On the Existence of Trapped Modes in Channels of Arbitrary Cross-section
• Edge waves over a shelf: full linear theory
• Existence theorems for trapped modes
• A Modern Introduction to the Mathematical Theory of Water Waves
• On essential and continuous spectra of the linearized water-wave problem in a finite pond
• Edge waves on a sloping beach

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