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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 332, Pages 299–312 (Mi znsl275)  
This article is cited in 1 scientific paper (total in 1 paper)

On dispersion of nonstationary surface waves in anisotropic elastic media

Z. A. Yanson

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (187 kB) Citations (1)
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Abstract: The whispering gallery modes propagating along the surface of anisotropic elastic body, with the use of space-time caustic expansions and space-time ray series are investigated. A separate nonstationary mode is interpreted as a wave packet formed by almost harmonic waves. On the boundary surface the asymptotic expressions for the group velocity (as function of time and coordinates) are deduced, which are in agreement with analogous formulas for Rayleigh waves of $SV$ type in isotropic case.
Received: 20.06.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 142, Issue 6, Pages 2689–2696
DOI: https://doi.org/10.1007/s10958-007-0156-8
Bibliographic databases:
UDC: 550.344.55, 550.834
Language: Russian
Citation: Z. A. Yanson, “On dispersion of nonstationary surface waves in anisotropic elastic media”, Mathematical problems in the theory of wave propagation. Part 35, Zap. Nauchn. Sem. POMI, 332, POMI, St. Petersburg, 2006, 299–312; J. Math. Sci. (N. Y.), 142:6 (2007), 2689–2696
Citation in format AMSBIB
\Bibitem{Yan06}
\by Z.~A.~Yanson
\paper On dispersion of nonstationary surface waves in anisotropic elastic media
\inbook Mathematical problems in the theory of wave propagation. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 332
\pages 299--312
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl275}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2253000}
\zmath{https://zbmath.org/?q=an:1117.74030}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 142
\issue 6
\pages 2689--2696
\crossref{https://doi.org/10.1007/s10958-007-0156-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247221548}
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  • https://www.mathnet.ru/eng/znsl/v332/p299
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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