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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 332, Pages 220–238 (Mi znsl271)  
This article is cited in 1 scientific paper (total in 1 paper)

On the comparison of methods of computation of interference elastic wave fields in thin-layered media. 1

G. I. Petrashena, V. V. Reshetnikovb, Yu. A. Surkova

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (220 kB) Citations (1)
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Abstract: A nonstationary problem on propagation of low-frequency waves for a model that consists of a packet of elastic layers lying on the elastic half-space is considered, exact mathematical solutions in the form of iterated integrals are constructed in three basic forms. It is proved that these solutions satisfy initial conditions. The possibility of the passage to the representation of the solution by a superposition of multiple waves is considered.
Received: 20.06.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 142, Issue 6, Pages 2645–2654
DOI: https://doi.org/10.1007/s10958-007-0152-z
Bibliographic databases:
UDC: 550.834
Language: Russian
Citation: G. I. Petrashen, V. V. Reshetnikov, Yu. A. Surkov, “On the comparison of methods of computation of interference elastic wave fields in thin-layered media. 1”, Mathematical problems in the theory of wave propagation. Part 35, Zap. Nauchn. Sem. POMI, 332, POMI, St. Petersburg, 2006, 220–238; J. Math. Sci. (N. Y.), 142:6 (2007), 2645–2654
Citation in format AMSBIB
\Bibitem{PetResSur06}
\by G.~I.~Petrashen, V.~V.~Reshetnikov, Yu.~A.~Surkov
\paper On the comparison of methods of computation of interference elastic wave fields in thin-layered media.~1
\inbook Mathematical problems in the theory of wave propagation. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 332
\pages 220--238
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl271}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2252996}
\zmath{https://zbmath.org/?q=an:1096.74033}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 142
\issue 6
\pages 2645--2654
\crossref{https://doi.org/10.1007/s10958-007-0152-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247216682}
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