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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 100, Number 2, Pages 287–302 (Mi tmf1648)  
This article is cited in 6 scientific papers (total in 6 papers)

Method of solution of the radiation transfer equation for an optically thick layer with reflecting boundaries

V. S. Potapov

M. V. Lomonosov Moscow State University
Full-text PDF (1459 kB) Citations (6)
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Abstract: A method is developed for solving the equations of the theory of radiative transfer that is effective for an optically thick reflecting layer. The essence of the method is to go over in the transfer equation to Laplace transforms and then investigate their analytic properties and eliminate fictitious singularities. Relations are formulated for the boundary values of the intesities; in conjunction with the boundary conditions these form a closed system of linear integral Fredholm equations of the second kind with completely continuous kernels.
Received: 31.03.1993
English version:
Theoretical and Mathematical Physics, 1994, Volume 100, Issue 2, Pages 1012–1022
DOI: https://doi.org/10.1007/BF01016764
Bibliographic databases:
Language: Russian
Citation: V. S. Potapov, “Method of solution of the radiation transfer equation for an optically thick layer with reflecting boundaries”, TMF, 100:2 (1994), 287–302; Theoret. and Math. Phys., 100:2 (1994), 1012–1022
Citation in format AMSBIB
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\by V.~S.~Potapov
\paper Method of solution of the radiation transfer equation for an optically thick layer with reflecting boundaries
\jour TMF
\yr 1994
\vol 100
\issue 2
\pages 287--302
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1311199}
\zmath{https://zbmath.org/?q=an:0853.45016}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 100
\issue 2
\pages 1012--1022
\crossref{https://doi.org/10.1007/BF01016764}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QH51400011}
Linking options:
  • https://www.mathnet.ru/eng/tmf1648
  • https://www.mathnet.ru/eng/tmf/v100/i2/p287
    • This publication is cited in the following 6 articles:
    1. I. V. Prokhorov, A. A. Suschenko, “Zadacha Koshi dlya uravneniya perenosa izlucheniya v neogranichennoi srede”, Dalnevost. matem. zhurn., 18:1 (2018), 101–111  mathnet
    2. A.E. Kovtanyuk, I.V. Prokhorov, “A boundary-value problem for the polarized-radiation transfer equation with Fresnel interface conditions for a layered medium”, Journal of Computational and Applied Mathematics, 235:8 (2011), 2006  crossref
    3. A. E. Kovtanyuk, I. V. Prokhorov, “Kraevaya zadacha dlya uravneniya perenosa polyarizovannogo izlucheniya v sloistoi srede”, Dalnevost. matem. zhurn., 10:1 (2010), 50–59  mathnet  elib
    4. Andrey Kovtanyuk, Konstantin Nefedev, Igor Prokhorov, Lecture Notes in Computer Science, 6083, Methods and Tools of Parallel Programming Multicomputers, 2010, 268  crossref
    5. I. V. Prokhorov, I. P. Yarovenko, “Kraevaya zadacha teorii perenosa v mnogosloinoi srede s obobschennymi usloviyami sopryazheniya”, Sib. zhurn. industr. matem., 6:1 (2003), 93–107  mathnet  mathscinet  zmath
    6. V. S. Potapov, “The asymptotic solution of the radiation transfer equation for the optically thick layer with reflected boundaries”, Theoret. and Math. Phys., 100:3 (1994), 1117–1131  mathnet  crossref  mathscinet  zmath  isi
    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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