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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 393, Pages 125–143 (Mi znsl4619)  
This article is cited in 2 scientific papers (total in 2 papers)

Rayleigh waves in an anisotropic elastic medium and impedance

A. P. Kachalov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (287 kB) Citations (2)
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Abstract: In the paper, the impedance operator, its properties and relationships with the Rayleigh waves in anisotropic media are considered. Zero eigenvalues of the impedance operator determine the Rayleigh waves in the anisotropic media. This property give us a possibility to prove the uniqueness theorem for the Rayleigh wave in any anisotropic medium close to isotropic one.
Key words and phrases: Rayleigh waves, anisotropic elastic medium, impedance.
Received: 28.10.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 4, Pages 581–590
DOI: https://doi.org/10.1007/s10958-012-0941-x
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. P. Kachalov, “Rayleigh waves in an anisotropic elastic medium and impedance”, Mathematical problems in the theory of wave propagation. Part 41, Zap. Nauchn. Sem. POMI, 393, POMI, St. Petersburg, 2011, 125–143; J. Math. Sci. (N. Y.), 185:4 (2012), 581–590
Citation in format AMSBIB
\Bibitem{Kac11}
\by A.~P.~Kachalov
\paper Rayleigh waves in an anisotropic elastic medium and impedance
\inbook Mathematical problems in the theory of wave propagation. Part~41
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 393
\pages 125--143
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4619}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870208}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 185
\issue 4
\pages 581--590
\crossref{https://doi.org/10.1007/s10958-012-0941-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866545388}
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  • https://www.mathnet.ru/eng/znsl/v393/p125
    • 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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