A spectral study of an infinite axisymmetric elastic layer

DOI10.1051/m2an:2001138zbMath0994.35100OpenAlexW2064596809MaRDI QIDQ2781515

Lahcène Chorfi

Publication date: 20 March 2002

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2001__35_5_849_0

zbMATH Keywords

waveselasticityeigenvaluesHilbert spacesspectral theoryaxisymmetric layer

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Linear waves in solid mechanics (74J05) Random vibrations in dynamical problems in solid mechanics (74H50) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

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• Mathematical analysis of the propagation of elastic guided waves in heterogeneous media
• On Korn's second inequality
• Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section
• Partial Fourier approximation of the Lamé equations in axisymmetric domains
• MATHEMATICAL ANALYSIS OF ELASTIC SURFACE WAVES IN TOPOGRAPHIC WAVEGUIDES
• Étude mathématique des modes guidés dans un milieu élastique à symétrie de révolution

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