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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 5, Pages 705–715 (Mi zvmmf3264)  

This article is cited in 3 scientific papers (total in 3 papers)

Asymptotic representation of the solution of the problem of the propagation of acoustic waves in a non-uniform compressible relaxing medium

V. V. Varlamov, A. V. Nesterov

Moscow
References:
Abstract: An equation describing the propagation of non-stationary acoustic waves in a non-uniform compressible relaxing medium is derived. The problem of the existence and uniqueness of a solution of the first initialboundary value problem for this equation is studied. The first term of the asymptotic expansion of the solution with respect to a small parameter multiplying the operator of the highest order in the equation is constructed.
Received: 08.06.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 3, Pages 47–55
DOI: https://doi.org/10.1016/0041-5553(90)90189-Y
Bibliographic databases:
Document Type: Article
UDC: 517.958:532.5
MSC: 76Q05
Language: Russian
Citation: V. V. Varlamov, A. V. Nesterov, “Asymptotic representation of the solution of the problem of the propagation of acoustic waves in a non-uniform compressible relaxing medium”, Zh. Vychisl. Mat. Mat. Fiz., 30:5 (1990), 705–715; U.S.S.R. Comput. Math. Math. Phys., 30:3 (1990), 47–55
Citation in format AMSBIB
\Bibitem{VarNes90}
\by V.~V.~Varlamov, A.~V.~Nesterov
\paper Asymptotic representation of the solution of the problem of the propagation of acoustic waves in a~non-uniform compressible relaxing medium
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 5
\pages 705--715
\mathnet{http://mi.mathnet.ru/zvmmf3264}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1058618}
\zmath{https://zbmath.org/?q=an:0850.76650}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 3
\pages 47--55
\crossref{https://doi.org/10.1016/0041-5553(90)90189-Y}
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  • https://www.mathnet.ru/eng/zvmmf/v30/i5/p705
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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