
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 boundaryvalue conditions
A. A. Amosov^{} ^{} National Research University "Moscow Power Engineering Institute", 14, Krasnokazarmennaya st., 111250 Moscow, Russia
Abstract:
We consider a nonstationary initialboundary value problem describing complex (radiativeconductive) heat transfer in a system of semitransparent bodies. To describe radiation propagation, we use the transport equation with radiation diffuse reflection and refraction boundaryvalue 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.
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A. A. Amosov, “Nonstationary problem of complex heat transfer in a system of semitransparent bodies with radiation diffuse reflection and refraction boundaryvalue conditions”, Proceedings of the Seventh International Conference on Differential and FunctionalDifferential 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 boundaryvalue conditions
\inbook Proceedings of the Seventh International Conference on Differential and FunctionalDifferential Equations (Moscow, August 2229, 2014). Part~2
\serial CMFD
\yr 2016
\vol 59
\pages 534
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd285}
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This publication is cited in the following articles:

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

G. V. Grenkin, “Svoistva reshenii nestatsionarnoi modeli slozhnogo teploobmena”, Dalnevost. matem. zhurn., 18:1 (2018), 23–33

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

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