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CMFD, 2016, Volume 59, Pages 5–34 (Mi cmfd285)  

This article is cited in 3 scientific papers (total in 3 papers)

Nonstationary problem of complex heat transfer in a system of semitransparent bodies with radiation diffuse reflection and refraction boundary-value conditions

A. A. Amosov

National Research University "Moscow Power Engineering Institute", 14, Krasnokazarmennaya st., 111250 Moscow, Russia

Abstract: We consider a nonstationary initial-boundary value problem describing complex (radiative-conductive) heat transfer in a system of semitransparent bodies. To describe radiation propagation, we use the transport equation with radiation diffuse reflection and refraction boundary-value conditions. We take into account that the radiation intensity and optical properties of bodies depend on the radiation frequency. The unique solvability of a weak solution is established. The comparison theorem is proved. A priori estimates of a weak solution are obtained as well as its regularity.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 1.756.2014/К
НШ-2081.2014.1


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Document Type: Article
UDC: 517.9

Citation: A. A. Amosov, “Nonstationary problem of complex heat transfer in a system of semitransparent bodies with radiation diffuse reflection and refraction boundary-value conditions”, Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 2, CMFD, 59, PFUR, M., 2016, 5–34

Citation in format AMSBIB
\Bibitem{Amo16}
\by A.~A.~Amosov
\paper Nonstationary problem of complex heat transfer in a~system of semitransparent bodies with radiation diffuse reflection and refraction boundary-value conditions
\inbook Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22--29, 2014). Part~2
\serial CMFD
\yr 2016
\vol 59
\pages 5--34
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd285}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. A. Amosov, “Stationary problem of complex heat transfer in a system of semitransparent bodies with boundary conditions of diffuse reflection and refraction of radiation”, Comput. Math. Math. Phys., 57:3 (2017), 515–540  mathnet  crossref  crossref  isi  elib
    2. G. V. Grenkin, “Svoistva reshenii nestatsionarnoi modeli slozhnogo teploobmena”, Dalnevost. matem. zhurn., 18:1 (2018), 23–33  mathnet
    3. G. V. Grenkin, A. Yu. Chebotarev, “Stability of stationary solutions of the radiative heat transfer equations”, Comput. Math. Math. Phys., 58:9 (2018), 1420–1425  mathnet  crossref  crossref  isi  elib
  • Современная математика. Фундаментальные направления
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