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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 8, Pages 1420–1430
DOI: https://doi.org/10.1134/S0044466919080088 (Mi zvmmf10943) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Inverse problem for equations of complex heat transfer

G. V. Grenkinab, A. Yu. Chebotarevab

a Far Eastern Federal University, Vladivostok, 690950 Russia
b Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia
Citations (14)
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DOI: https://doi.org/10.1134/S0044466919080088
Abstract: The inverse problem with integral overdetermination for the equations of complex heat transfer, including the ${{P}_{1}}$ approximation for the stationary radiative transfer equation, is considered. Sufficient conditions for nonlocal unique solvability of the inverse problem are found. The theoretical analysis is illustrated by numerical examples.
Key words: quasi-stationary equations of radiative heat transfer, inverse problem, nonlocal unique solvability, numerical modeling.
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. RFMEFI58417X0031.
Received: 07.03.2019
Revised: 07.03.2019
Accepted: 10.04.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 8, Pages 1361–1371
DOI: https://doi.org/10.1134/S0965542519080086
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: G. V. Grenkin, A. Yu. Chebotarev, “Inverse problem for equations of complex heat transfer”, Zh. Vychisl. Mat. Mat. Fiz., 59:8 (2019), 1420–1430; Comput. Math. Math. Phys., 59:8 (2019), 1361–1371
Citation in format AMSBIB
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    • This publication is cited in the following 14 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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