The point spectrum of the water-wave problem in intersecting channels

DOI10.1007/s10958-011-0383-xzbMath1291.35230OpenAlexW2082629945MaRDI QIDQ393350

Sergueï A. Nazarov

Publication date: 17 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0383-x

zbMATH Keywords

linear theoryspectral problemssurface-waves

Mathematics Subject Classification ID

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

Cites Work

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• Embedded trapped modes in water waves and acoustics
• Elastic waves localized near periodic families of defects
• On the Existence of Trapped Modes in Channels of Arbitrary Cross-section
• Properties of Spectra of Boundary Value Problems in Cylindrical and Quasicylindrical Domains
• Uniqueness and trapped modes for surface-piercing cylinders in oblique waves
• Existence theorems for trapped modes
• MATHEMATICAL ANALYSIS OF ELASTIC SURFACE WAVES IN TOPOGRAPHIC WAVEGUIDES
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS

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