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Izvestiya: Mathematics, 1999, Volume 63, Issue 5, Pages 1015–1061
DOI: https://doi.org/10.1070/im1999v063n05ABEH000264 (Mi im264) 		 
This article is cited in 25 scientific papers (total in 25 papers)

Homogenization of parabolic equations with contrasting coefficients

G. V. Sandrakov

M. V. Lomonosov Moscow State University
English version PDF (722 kB) Citations (25)
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DOI: https://doi.org/10.1070/im1999v063n05ABEH000264
Abstract: We consider non-stationary diffusion problems in a periodic medium with inclusions filled with a material of small conductivity. We propose homogenized equations whose solutions approximate those of the problems under consideration. We prove estimates for the accuracy of this approximation as the period of the medium and the conductivity coefficient tend to zero. The form of the homogenized equations and the accuracy estimates depend essentially on the asymptotic behaviour of the conductivity coefficient in relation to the square of the period.
Received: 27.06.1997
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1999, Volume 63, Issue 5, Pages 179–224
DOI: https://doi.org/10.4213/im264
Bibliographic databases:
MSC: 35B27
Language: English
Original paper language: Russian
Citation: G. V. Sandrakov, “Homogenization of parabolic equations with contrasting coefficients”, Izv. RAN. Ser. Mat., 63:5 (1999), 179–224; Izv. Math., 63:5 (1999), 1015–1061
Citation in format AMSBIB
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\by G.~V.~Sandrakov
\paper Homogenization of parabolic equations with contrasting coefficients
\jour Izv. RAN. Ser. Mat.
\yr 1999
\vol 63
\issue 5
\pages 179--224
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\crossref{https://doi.org/10.4213/im264}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1727612}
\zmath{https://zbmath.org/?q=an:0967.35016}
\transl
\jour Izv. Math.
\yr 1999
\vol 63
\issue 5
\pages 1015--1061
\crossref{https://doi.org/10.1070/im1999v063n05ABEH000264}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000085381600007}
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  • https://doi.org/10.1070/im1999v063n05ABEH000264
  • https://www.mathnet.ru/eng/im/v63/i5/p179
    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:827
    Russian version PDF:234
    English version PDF:17
    References:75
    First page:2
     
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