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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 562–576
DOI: https://doi.org/10.17377/semi.2015.12.046 (Mi semr609) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Differentical equations, dynamical systems and optimal control

A nonhomogeneous nonstationary complex heat transfer problem

G. V. Grenkina, A. Yu. Chebotarevb

a Institute of Applied Mathematics FEB RAS, ul. Radio, 7, 690041, Vladivostok, Russia
b Far Eastern Federal University, ul. Sukhanova, 8, 690950, Vladivostok, Russia
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DOI: https://doi.org/10.17377/semi.2015.12.046
Abstract: A nonhomogeneous nonstationary problem of radiative-conductive-convective heat tranfer in a three-dimensional domain is investigated in the framework of the diffusion $P_1$-approximation of the radiative heat transfer equation. The unique solvability of the problem is proved.
Keywords: radiative heat transfer, diffusion approximation, unique solvability.
Received July 27, 2015, published September 18, 2015
Document Type: Article
UDC: 517.95
MSC: 35K55
Language: Russian
Citation: G. V. Grenkin, A. Yu. Chebotarev, “A nonhomogeneous nonstationary complex heat transfer problem”, Sib. Èlektron. Mat. Izv., 12 (2015), 562–576
Citation in format AMSBIB
\Bibitem{GreChe15}
\by G.~V.~Grenkin, A.~Yu.~Chebotarev
\paper A nonhomogeneous nonstationary complex heat transfer problem
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 562--576
\mathnet{http://mi.mathnet.ru/semr609}
\crossref{https://doi.org/10.17377/semi.2015.12.046}
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