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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 7, Pages 1258–1263
DOI: https://doi.org/10.1134/S004446691907010X (Mi zvmmf10929) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Stationary problem of radiative heat transfer with Cauchy boundary conditions

A. G. Kolobova, T. V. Paka, A. Yu. Chebotarevab

a Far Eastern Federal University, Vladivostok, 690050 Russia
b Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia
Citations (12)
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DOI: https://doi.org/10.1134/S004446691907010X
Abstract: A stationary problem of radiative-conductive heat transfer in a three-dimensional domain is studied in the ${{P}_{1}}$-approximation of the radiative transfer equation. A formulation is considered in which the boundary conditions for the radiation intensity are not specified but an additional boundary condition for the temperature field is imposed. Nonlocal solvability of the problem is established, and it is shown that the solution set is homeomorphic to a finite-dimensional compact. A condition for the uniqueness of the solution is presented.
Key words: radiative heat transfer equations, diffusion approximation, nonlocal solvability.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation RFMEFI58417X0031
This work was supported by the Ministry of Education and Science of the Russian Federation, project no.В RFMEFI58417X0031.
Received: 04.02.2019
Revised: 04.02.2019
Accepted: 11.03.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 7, Pages 1199–1203
DOI: https://doi.org/10.1134/S0965542519070091
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. G. Kolobov, T. V. Pak, A. Yu. Chebotarev, “Stationary problem of radiative heat transfer with Cauchy boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 59:7 (2019), 1258–1263; Comput. Math. Math. Phys., 59:7 (2019), 1199–1203
Citation in format AMSBIB
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    • This publication is cited in the following 12 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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