Simple method for finding trapped modes in problems of the linear theory of surface waves

DOI10.1134/S1064562409060325zbMath1423.76066OpenAlexW1985963934MaRDI QIDQ845523

Sergueï A. Nazarov

Publication date: 29 January 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562409060325

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (10)

Spectrum of the linear water model for a two‐layer liquid with cuspidal geometries at the interface ⋮ Incomplete comparison principle in problems about surface waves trapped by fixed and freely floating bodies ⋮ Trapped modes along periodic structures submerged in a two‐layer fluid with background steady flow ⋮ Sufficient conditions on the existence of trapped modes in problems of the linear theory of surface waves ⋮ Discrete spectrum of cranked, branching, and periodic waveguides ⋮ Trapped modes and resonances for thin horizontal cylinders in a two-layer fluid ⋮ Criteria for trapped modes in a cranked channel with fixed and freely floating bodies ⋮ Trapped modes in a linear problem of the theory of surface water waves ⋮ Water waves trapped by thin submerged cylinders: exact solutions ⋮ Estimate for a solution to the water wave problem in the presence of a submerged body

Cites Work

• On trapping of surface water waves by cylindrical bodies in a channel
• Mathematical aspects of trapping modes in the theory of surface waves
• TRAPPING OF SURFACE WATER WAVES BY FIXED BODIES IN A CHANNEL
• Uniqueness and trapped modes for surface-piercing cylinders in oblique waves

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