Acoustic and elastodynamic 3D Green's functions for isotropic media with a weak velocity gradient

DOI10.1016/S0165-2125(99)00029-3zbMath1053.74023OpenAlexW2020910100WikidataQ60710098 ScholiaQ60710098MaRDI QIDQ1608006

Václav Vavryčuk

Publication date: 1 September 2002

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-2125(99)00029-3

zbMATH Keywords

higher-order approximationsray seriesfirst-order perturbation theory

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Bulk waves in solid mechanics (74J10) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Hydro- and aero-acoustics (76Q05)

Uses Software

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Cites Work

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• SH-wave Green tensor for homogeneous transversely isotropic media by higher-order approximations in asymptotic ray theory
• Elementary source-type solutions of the reduced wave equation
• Theory of Propagation of Sound in a Half-Space of Variable Sound Velocity under Conditions of Formation of a Shadow Zone

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