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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2005, Volume 46, Issue 3, Pages 128–140 (Mi pmtf2271)  

This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic behavior of the conducting properties of high-contrast media

A. G. Kolpakov

Novosibirsk State Architecturally-Building University, Novosibirsk, 630008
Full-text PDF (311 kB) Citations (2)
Abstract: The asymptotic-shielding effect and the asymptotic behavior of the conductivity of a medium containing closely spaced, perfectly conducting inclusions. It is proved that in the presence of asymptotic shielding for pairs of adjacent particles, the original continuous problem can be approximated by a finite-dimensional problem.
Keywords: shielding effect, asymptotic behavior, conductivity, perfectly conducting inclusions, finite-dimensional approximation.
Received: 02.02.2004
Accepted: 25.10.2004
English version:
Journal of Applied Mechanics and Technical Physics, 2005, Volume 46, Issue 3, Pages 412–422
DOI: https://doi.org/10.1007/s10808-005-0091-8
Bibliographic databases:
Document Type: Article
UDC: 519.6:517.58
Language: Russian
Citation: A. G. Kolpakov, “Asymptotic behavior of the conducting properties of high-contrast media”, Prikl. Mekh. Tekh. Fiz., 46:3 (2005), 128–140; J. Appl. Mech. Tech. Phys., 46:3 (2005), 412–422
Citation in format AMSBIB
\Bibitem{Kol05}
\by A.~G.~Kolpakov
\paper Asymptotic behavior of the conducting properties of high-contrast media
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2005
\vol 46
\issue 3
\pages 128--140
\mathnet{http://mi.mathnet.ru/pmtf2271}
\elib{https://elibrary.ru/item.asp?id=15175935}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2005
\vol 46
\issue 3
\pages 412--422
\crossref{https://doi.org/10.1007/s10808-005-0091-8}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2271
  • https://www.mathnet.ru/eng/pmtf/v46/i3/p128
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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