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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 3, Pages 465–473
DOI: https://doi.org/10.31857/S0044466923030055 (Mi zvmmf11528) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Mathematical physics

Inhomogeneous problem for quasi-stationary equations of complex heat transfer with reflection and refraction conditions

A. Yu. Chebotarevab

a Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, 690041, Vladivostok, Russia
b Regional Scientific and Educational Mathematical Center, Far Eastern Federal University, 690922, Vladivostok, Russia
Citations (7)
DOI: https://doi.org/10.31857/S0044466923030055
Abstract: The paper considers an inhomogeneous initial-boundary value problem for a nonlinear parabolic-elliptic system simulating radiative heat transfer with Fresnel matching conditions on the surfaces of discontinuity of the refractive index. Nonlocal-in-time unique solvability of the problem is proved.
Key words: quasi-stationary equations of radiative heat transfer, Fresnel matching conditions, inhomogeneous initial-boundary value problem, non-local solvability.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00113
Ministry of Science and Higher Education of the Russian Federation 122082400001-8
This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00113) and the Russian Ministry of Education and Science (project no. 122082400001-8).
Received: 10.03.2022
Revised: 16.09.2022
Accepted: 14.11.2022
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 3, Pages 441–449
DOI: https://doi.org/10.1134/S0965542523030053
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. Yu. Chebotarev, “Inhomogeneous problem for quasi-stationary equations of complex heat transfer with reflection and refraction conditions”, Zh. Vychisl. Mat. Mat. Fiz., 63:3 (2023), 465–473; Comput. Math. Math. Phys., 63:3 (2023), 441–449
Citation in format AMSBIB
\Bibitem{Che23}
\by A.~Yu.~Chebotarev
\paper Inhomogeneous problem for quasi-stationary equations of complex heat transfer with reflection and refraction conditions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 3
\pages 465--473
\mathnet{http://mi.mathnet.ru/zvmmf11528}
\crossref{https://doi.org/10.31857/S0044466923030055}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4582777}
\elib{https://elibrary.ru/item.asp?id=50435765}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 3
\pages 441--449
\crossref{https://doi.org/10.1134/S0965542523030053}
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  • https://www.mathnet.ru/eng/zvmmf/v63/i3/p465
    • This publication is cited in the following 7 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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