Waves trapped by semi-infinite Kirchhoff plate at ultra-low frequencies

DOI10.3103/S002565442008018XzbMath1460.74049OpenAlexW3135496160MaRDI QIDQ2656479

Sergueï A. Nazarov

Publication date: 11 March 2021

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

Full work available at URL: https://doi.org/10.3103/s002565442008018x

zbMATH Keywords

existenceuniquenesscontinuous spectrumWinkler foundationsmall perturbationthreshold resonancenear-threshold eigenvalue

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Wave scattering in solid mechanics (74J20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items

Trapping of waves in semiinfinite Kirchhoff plate with periodically damaged edge ⋮ The preservation of threshold resonances and the splitting off of eigenvalues from the threshold of the continuous spectrum of quantum waveguides

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