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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 230, Pages 172–195 (Mi znsl3773)  
This article is cited in 10 scientific papers (total in 10 papers)

The effective model of a stratified solid-fluid medium as a special case of the Biot model

L. A. Molotkova, A. V. Bakulinb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (1026 kB) Citations (10)
Abstract: The Biot model is compared with the effective model of a stratified periodic elastic-fluid medium, and the parameters of the transversally isotropic Biot model that turn it into the effective model are found. In the course of this comparison, some intermediate models, which are generalizations of the effective model and particular cases of the Biot model, are considered. For all of the models, the wave fronts excited by a point source are determined. The distinguishing feature of wave fronts in the intermediate models is the occurrence of double loops on some of them. Bibl. 15 titles.
Received: 26.08.1994
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 2, Pages 2812–2827
DOI: https://doi.org/10.1007/BF02433997
Bibliographic databases:
Document Type: Article
UDC: 550.34
Language: Russian
Citation: L. A. Molotkov, A. V. Bakulin, “The effective model of a stratified solid-fluid medium as a special case of the Biot model”, Mathematical problems in the theory of wave propagation. Part 25, Zap. Nauchn. Sem. POMI, 230, POMI, St. Petersburg, 1995, 172–195; J. Math. Sci. (New York), 91:2 (1998), 2812–2827
Citation in format AMSBIB
\Bibitem{MolBak95}
\by L.~A.~Molotkov, A.~V.~Bakulin
\paper The effective model of a~stratified solid-fluid medium as a~special case of the Biot model
\inbook Mathematical problems in the theory of wave propagation. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 230
\pages 172--195
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3773}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434276}
\zmath{https://zbmath.org/?q=an:0900.76650}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 2
\pages 2812--2827
\crossref{https://doi.org/10.1007/BF02433997}
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  • https://www.mathnet.ru/eng/znsl/v230/p172
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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