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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 257, Pages 184–206 (Mi znsl998)  

This article is cited in 2 scientific papers (total in 2 papers)

On the effective model of porous stratified media with slide contact between layers

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (397 kB) Citations (2)
Abstract: In order to study wave propagation in porous layered media with slide contact between elastic phases on the interfaces the effective models of these media are investigated. For these models the fronts of four waves excited by a point sources are established and formulas of wave velocities along the axes are derived. The applied methods of constructing fronts allow to point out the possible pecularities as loops and juts. The essential case, when all layers are the same but the boundary conditions remain, is also considered.
Received: 19.10.1998
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 108, Issue 5, Pages 772–789
DOI: https://doi.org/10.1023/A:1013263615720
Bibliographic databases:
UDC: 550.34
Language: Russian
Citation: L. A. Molotkov, “On the effective model of porous stratified media with slide contact between layers”, Mathematical problems in the theory of wave propagation. Part 28, Zap. Nauchn. Sem. POMI, 257, POMI, St. Petersburg, 1999, 184–206; J. Math. Sci. (New York), 108:5 (2002), 772–789
Citation in format AMSBIB
\Bibitem{Mol99}
\by L.~A.~Molotkov
\paper On the effective model of porous stratified media with slide contact between layers
\inbook Mathematical problems in the theory of wave propagation. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 257
\pages 184--206
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl998}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754701}
\zmath{https://zbmath.org/?q=an:1060.74534}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 108
\issue 5
\pages 772--789
\crossref{https://doi.org/10.1023/A:1013263615720}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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