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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 253, Pages 12–136 (Mi znsl882)  
This article is cited in 2 scientific papers (total in 2 papers)

The development of engineering approaches to the study of interference wave fields excited in packets of thin elastic layers. (I). (the construction of wave fields of the SV type and the discussion of rational methods of quantitative evaluation of them.)

G. I. Petrashen, V. V. Reshetnikov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (776 kB) Citations (2)
Abstract: The methods of the quantitative study of interference wave fields in thin-layered elastic media are developed. The problems for the simplest thin-layered media are formulated, exact mathematical solutions of them are given in the Fourier type. The methods of the quantitative estimation of the wave fields in the sufficiently low-frequency band of their spectrum are discussed. The problems of the quantitative studing the roots of dispersion equations and the numerical integration in the complex plane are considered in detail.
Received: 12.03.1998
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 105, Issue 3, Pages 1931–2014
DOI: https://doi.org/10.1023/A:1011360520882
Bibliographic databases:
UDC: 550.834
Language: Russian
Citation: G. I. Petrashen, V. V. Reshetnikov, “The development of engineering approaches to the study of interference wave fields excited in packets of thin elastic layers. (I). (the construction of wave fields of the SV type and the discussion of rational methods of quantitative evaluation of them.)”, Interference waves in layered media. Part 3, Zap. Nauchn. Sem. POMI, 253, POMI, St. Petersburg, 1999, 12–136; J. Math. Sci. (New York), 105:3 (2001), 1931–2014
Citation in format AMSBIB
\Bibitem{PetRes99}
\by G.~I.~Petrashen, V.~V.~Reshetnikov
\paper The development of engineering approaches to the study of interference wave fields excited in
packets of thin elastic layers.~(I). (the construction of wave fields of the SV type and the discussion of rational methods of quantitative evaluation of them.)
\inbook Interference waves in layered media. Part~3
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 253
\pages 12--136
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl882}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1755902}
\zmath{https://zbmath.org/?q=an:1112.74568}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 105
\issue 3
\pages 1931--2014
\crossref{https://doi.org/10.1023/A:1011360520882}
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  • https://www.mathnet.ru/eng/znsl/v253/p12
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    Citing articles in Google Scholar: Russian citations, English citations
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