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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 393, Pages 101–110 (Mi znsl4617)  
This article is cited in 2 scientific papers (total in 2 papers)

Wave field from a point source on an open boundary of half plane Biot

G. L. Zavorokhin

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (543 kB) Citations (2)
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Abstract: Initial boundary value problem of wave propagation in half plane filled with fluid-saturated porous solid is considered. Biot's medium is isotropic homogeneous and pores are opened on the boundary. Using complex analysis techniques, explicit formulae for components of displacement vectors in elastic and fluid phases are obtained.
Key words and phrases: Lamb's problem, porous media, Biot's theory, Rayleigh wave, head wave, wave propagation.
Received: 14.11.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 4, Pages 567–572
DOI: https://doi.org/10.1007/s10958-012-0939-4
Bibliographic databases:
Document Type: Article
UDC: 550.34
Language: Russian
Citation: G. L. Zavorokhin, “Wave field from a point source on an open boundary of half plane Biot”, Mathematical problems in the theory of wave propagation. Part 41, Zap. Nauchn. Sem. POMI, 393, POMI, St. Petersburg, 2011, 101–110; J. Math. Sci. (N. Y.), 185:4 (2012), 567–572
Citation in format AMSBIB
\Bibitem{Zav11}
\by G.~L.~Zavorokhin
\paper Wave field from a~point source on an open boundary of half plane Biot
\inbook Mathematical problems in the theory of wave propagation. Part~41
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 393
\pages 101--110
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4617}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870206}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 185
\issue 4
\pages 567--572
\crossref{https://doi.org/10.1007/s10958-012-0939-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866549900}
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  • https://www.mathnet.ru/eng/znsl/v393/p101
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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