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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 354, Pages 132–149 (Mi znsl1648)  

This article is cited in 1 scientific paper (total in 1 paper)

Raleigh waves radiated from a point source at the boundary free from tensions

N. Ya. Kirpichnikova

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (250 kB) Citations (1)
References:
Abstract: We consider such solutions of the elastic theory equations that suffer a discontinuity only at the boundary free from tensions (Raleigh waves). We find initial data for the complex intensity of the surface Raleigh waves in the two simple media. The first elastic medium fills in the half-space with Lame parameters and density depending on the depth. The second medium is bounded by a curve determined by natural equation. The parameters of the second medium depend on the arc-length along the curve. Bibl. – 12 titles.
Received: 19.05.2008
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 155, Issue 3, Pages 409–418
DOI: https://doi.org/10.1007/s10958-008-9223-z
Bibliographic databases:
UDC: 517
Language: Russian
Citation: N. Ya. Kirpichnikova, “Raleigh waves radiated from a point source at the boundary free from tensions”, Mathematical problems in the theory of wave propagation. Part 37, Zap. Nauchn. Sem. POMI, 354, POMI, St. Petersburg, 2008, 132–149; J. Math. Sci. (N. Y.), 155:3 (2008), 409–418
Citation in format AMSBIB
\Bibitem{Kir08}
\by N.~Ya.~Kirpichnikova
\paper Raleigh waves radiated from a~point source at the boundary free from tensions
\inbook Mathematical problems in the theory of wave propagation. Part~37
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 354
\pages 132--149
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1648}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 155
\issue 3
\pages 409--418
\crossref{https://doi.org/10.1007/s10958-008-9223-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-56749161532}
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  • https://www.mathnet.ru/eng/znsl/v354/p132
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:26
     
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