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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2013, Volume 13, Issue 1, Pages 13–23 (Mi vngu126)  
This article is cited in 1 scientific paper (total in 1 paper)

Boundary problem for radiation transfer through plane layer

V. S. Antyufeevab

a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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Abstract: A special statement of the problem of radiation transfer through plane layer, called boundary problem, is considered. It was proposed first by Ambartsumian. An operatormatrix made up of the layer reflection and transmittance operators is introduced. A “layer addition” theorem is proved. Application examples are considered.
Keywords: radiactive transfer, invariance principle, plane layer, reflection and transmission operators, semigroup of operators.
Received: 24.09.2011
English version:
Journal of Mathematical Sciences, 2014, Volume 203, Issue 4, Pages 427–435
DOI: https://doi.org/10.1007/s10958-014-2146-y
Document Type: Article
UDC: 519.6
Language: Russian
Citation: V. S. Antyufeev, “Boundary problem for radiation transfer through plane layer”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:1 (2013), 13–23; J. Math. Sci., 203:4 (2014), 427–435
Citation in format AMSBIB
\Bibitem{Ant13}
\by V.~S.~Antyufeev
\paper Boundary problem for radiation transfer through plane layer
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2013
\vol 13
\issue 1
\pages 13--23
\mathnet{http://mi.mathnet.ru/vngu126}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 203
\issue 4
\pages 427--435
\crossref{https://doi.org/10.1007/s10958-014-2146-y}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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