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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 100, Number 3, Pages 424–443 (Mi tmf1660)  

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

The asymptotic solution of the radiation transfer equation for the optically thick layer with reflected boundaries

V. S. Potapov

M. V. Lomonosov Moscow State University
References:
Abstract: The asymptotic analysis of the system of equations derived in previous paper is given. This system is equivalent to initial radiation transfer equation but convenient for effective solution in the case of the optically thick layer with general linear boundary conditions of reflection and transition. The obtained asymptotic expressions let us find the explicit form of reflection and transition laws for diffusive radiation in each given situation. The space distribution of radiation intensiveness inside and near the boundaries of the optically thick layer is investigated too.
Received: 31.03.1993
English version:
Theoretical and Mathematical Physics, 1994, Volume 100, Issue 3, Pages 1117–1131
DOI: https://doi.org/10.1007/BF01018577
Bibliographic databases:
Language: Russian
Citation: V. S. Potapov, “The asymptotic solution of the radiation transfer equation for the optically thick layer with reflected boundaries”, TMF, 100:3 (1994), 424–443; Theoret. and Math. Phys., 100:3 (1994), 1117–1131
Citation in format AMSBIB
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\by V.~S.~Potapov
\paper The asymptotic solution of the radiation transfer equation for the optically thick layer with reflected boundaries
\jour TMF
\yr 1994
\vol 100
\issue 3
\pages 424--443
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1311899}
\zmath{https://zbmath.org/?q=an:0856.35124}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 100
\issue 3
\pages 1117--1131
\crossref{https://doi.org/10.1007/BF01018577}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QP25500011}
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  • https://www.mathnet.ru/eng/tmf/v100/i3/p424
  • 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
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:258
    Full-text PDF :96
    References:44
    First page:1
     
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