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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 4, Pages 711–719
DOI: https://doi.org/10.7868/S0044466914040097 (Mi zvmmf10024) 		 
This article is cited in 49 scientific papers (total in 49 papers)

Steady-state problem of complex heat transfer

A. E. Kovtanyukab, A. Yu. Chebotarevab

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
Full-text PDF (289 kB) Citations (49)
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DOI: https://doi.org/10.7868/S0044466914040097
Abstract: The problem of radiative-conductive-convective heat transfer in a three-dimensional domain is studied. The existence of a weak solution of the problem is proved, and sufficient conditions for the uniqueness of a solution are found. The temperature distribution in a three-dimensional channel is determined in numerical experiments.
Key words: radiative heat transfer equations, diffusion approximation, nonlocal solvability.
Received: 26.06.2013
Revised: 24.09.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 4, Pages 719–726
DOI: https://doi.org/10.1134/S0965542514040095
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. E. Kovtanyuk, A. Yu. Chebotarev, “Steady-state problem of complex heat transfer”, Zh. Vychisl. Mat. Mat. Fiz., 54:4 (2014), 711–719; Comput. Math. Math. Phys., 54:4 (2014), 719–726
Citation in format AMSBIB
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    • This publication is cited in the following 49 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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