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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 2, Pages 275–282
DOI: https://doi.org/10.7868/S0044466916020101 (Mi zvmmf10344) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Nonstationary problem of free convection with radiative heat transfer

G. V. Grenkinab, A. Yu. Chebotarevab

a Institute of Applied Mathematics, Far East 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 (131 kB) Citations (20)
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DOI: https://doi.org/10.7868/S0044466916020101
Abstract: Nonstationary problem of free convection of viscous incompressible fluid in a three-dimensional domain with allowance for radiative heat transfer is studied in the framework of the diffusion $P_1$-approximation of the equation of radiative transfer. The solvability of the problem is proven, and sufficient conditions for the uniqueness are presented.
Key words: equations of radiative transfer, diffusion approximation, free convection, Boussinesq equations, sufficient conditions for uniqueness.
Funding agency Grant number
Russian Science Foundation 14-11-00079
Received: 30.03.2015
Revised: 01.07.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 2, Pages 278–285
DOI: https://doi.org/10.1134/S096554251602010X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: G. V. Grenkin, A. Yu. Chebotarev, “Nonstationary problem of free convection with radiative heat transfer”, Zh. Vychisl. Mat. Mat. Fiz., 56:2 (2016), 275–282; Comput. Math. Math. Phys., 56:2 (2016), 278–285
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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