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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 225, Pages 121–239 (Mi znsl3736)  
This article is cited in 1 scientific paper (total in 1 paper)

Nonstationary interference wave fields of the $SV$-type in a free elastic layer and a problem of the ultrasonic modeling of plane seismic fields on plate-like models

G. I. Petrashen, V. S. Pivovarov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (4764 kB) Citations (1)
Abstract: The problem of a quantitative study of wave fields in a free elastic layer excited by point nonstationary sources is discussed.
The principal attention is paid to a low-frequency part of the Fourier spectrum. Roots of the dispersion equation of the layer chosen in the Lambe method representation are studied very thoroughly. On this basis efficient methods for a quontitative estimation of the wave interference modes are elaborated. It allows us essentially to advance a mathematical justification of the methods of the seismic modeling of the plane wave fields on the plate-like models. Bibl. 8 titles, ill. 24.
Received: 04.12.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 1, Pages 2619–2687
DOI: https://doi.org/10.1007/BF02433959
Bibliographic databases:
Document Type: Article
UDC: 550.834
Language: Russian
Citation: G. I. Petrashen, V. S. Pivovarov, “Nonstationary interference wave fields of the $SV$-type in a free elastic layer and a problem of the ultrasonic modeling of plane seismic fields on plate-like models”, Interference waves in layered media. Part 2, Zap. Nauchn. Sem. POMI, 225, POMI, St. Petersburg, 1996, 121–239; J. Math. Sci. (New York), 91:1 (1998), 2619–2687
Citation in format AMSBIB
\Bibitem{PetPiv96}
\by G.~I.~Petrashen, V.~S.~Pivovarov
\paper Nonstationary interference wave fields of the $SV$-type in a~free elastic layer and a~problem of the ultrasonic modeling of plane seismic fields on plate-like models
\inbook Interference waves in layered media. Part~2
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 225
\pages 121--239
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3736}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1446487}
\zmath{https://zbmath.org/?q=an:0909.73020}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 1
\pages 2619--2687
\crossref{https://doi.org/10.1007/BF02433959}
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  • https://www.mathnet.ru/eng/znsl/v225/p121
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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