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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 11, Pages 1806–1816
DOI: https://doi.org/10.7868/S0044466914110064 (Mi zvmmf10114) 		 
This article is cited in 30 scientific papers (total in 30 papers)

A nonstationary problem of complex heat transfer

G. V. Grenkina, A. Yu. Chebotarevb

a Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041, Russia
b Far Eastern Federal University, ul. Sukhanova 8, Vladivostok, 690950, Russia
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DOI: https://doi.org/10.7868/S0044466914110064
Abstract: A nonstationary problem of radiative-convective heat transfer in a three-dimensional region is studied in the framework of the diffusion $P_1$-approximation of the radiative heat transfer equation. The problem is proved to be uniquely solvable nonlocally in time, and a stationary equilibrium state is shown to be asymptotically stable.
Key words: radiative heat transfer equations, diffusion approximation, nonlocal solvability, asymptotic stability.
Received: 04.02.2014
Revised: 06.05.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 11, Pages 1737–1747
DOI: https://doi.org/10.1134/S0965542514110062
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: G. V. Grenkin, A. Yu. Chebotarev, “A nonstationary problem of complex heat transfer”, Zh. Vychisl. Mat. Mat. Fiz., 54:11 (2014), 1806–1816; Comput. Math. Math. Phys., 54:11 (2014), 1737–1747
Citation in format AMSBIB
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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