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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 297, Pages 230–253 (Mi znsl1224)  
This article is cited in 3 scientific papers (total in 3 papers)

About propagation of seismic waves in block elastic-fluid media. I

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (310 kB) Citations (3)
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Abstract: In the paper the approach of averaging block elastic-fluid media is proposed and the effective model for block medium in which every cell consists of three elastic blocks and one fluid block is constructed. The investigation of the model equations is shown that in this model two longitudinal waves and one wave with a concave front propagate. The limited cases when the fluid block is narrowed down to a point or when the fluid block occupies the whole cell are considered in the paper.
Received: 25.01.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 127, Issue 6, Pages 2469–2481
DOI: https://doi.org/10.1007/s10958-005-0195-y
Bibliographic databases:
UDC: 550.34
Language: Russian
Citation: L. A. Molotkov, “About propagation of seismic waves in block elastic-fluid media. I”, Mathematical problems in the theory of wave propagation. Part 32, Zap. Nauchn. Sem. POMI, 297, POMI, St. Petersburg, 2003, 230–253; J. Math. Sci. (N. Y.), 127:6 (2005), 2469–2481
Citation in format AMSBIB
\Bibitem{Mol03}
\by L.~A.~Molotkov
\paper About propagation of seismic waves in block elastic-fluid media.~I
\inbook Mathematical problems in the theory of wave propagation. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 297
\pages 230--253
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1224}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1981397}
\zmath{https://zbmath.org/?q=an:1116.86007}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 127
\issue 6
\pages 2469--2481
\crossref{https://doi.org/10.1007/s10958-005-0195-y}
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  • https://www.mathnet.ru/eng/znsl/v297/p230
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    Citing articles in Google Scholar: Russian citations, English citations
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