The existence of Rayleigh–Bloch surface waves

DOI10.1017/S0022112002002227zbMath1026.76007OpenAlexW2093557450MaRDI QIDQ4409268

Chris M. Linton, M. McIver

Publication date: 30 June 2003

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112002002227

zbMATH Keywords

Dirichlet problemexistencespectrumpositive self-adjoint operatorRayleigh-Bloch surface waves

Mathematics Subject Classification ID

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

Related Items (12)

Liquid surface waves in parabolic tanks ⋮ Rotational acoustic resonances in cylindrical waveguides ⋮ Variational and asymptotic methods for finding eigenvalues below the continuous spectrum threshold ⋮ Existence of surface waves and band gaps in periodic heterogeneous half-spaces ⋮ Trapped modes along periodic structures submerged in a two‐layer fluid with background steady flow ⋮ Localisation of Rayleigh–Bloch waves and damping of resonant loads on arrays of vertical cylinders ⋮ Rayleigh waves in micro-structured elastic systems: non-reciprocity and energy symmetry breaking ⋮ Fluctuation of magnitude of wave loads for a long array of bottom-mounted cylinders ⋮ Trapped modes along a periodic array of freely floating obstacles ⋮ Existence of edge waves along three-dimensional periodic structures ⋮ Experimental study on water-wave trapped modes ⋮ Radiation from Structured-Ring Resonators

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