Waves and radiation conditions in a cuspidal sharpening of elastic bodies

DOI10.1007/s10659-017-9658-xzbMath1412.35324OpenAlexW2765964482WikidataQ59612049 ScholiaQ59612049MaRDI QIDQ1653421

Y. Aharonov

Publication date: 3 August 2018

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-017-9658-x

zbMATH Keywords

Fredholm operatorelastic wavestrapped modescuspidal singularityenergy radiation conditionsvibration black holesweighted spaces with detached asymptotics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Wave scattering in solid mechanics (74J20) Asymptotic expansions of solutions to PDEs (35C20) PDEs in connection with mechanics of deformable solids (35Q74) Traveling wave solutions (35C07)

Related Items (3)

``Blinking eigenvalues of the Steklov problem generate the continuous spectrum in a cuspidal domain ⋮ Strange behavior of natural oscillations of an elastic body with a blunted peak ⋮ ‘Blinking’ and ‘gliding’ eigenfrequencies of oscillations of elastic bodies with blunted cuspidal sharpenings

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