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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 7, Pages 1100–1114
DOI: https://doi.org/10.31857/S004446692207002X (Mi zvmmf11422) 		 
Partial Differential Equations

On the global solvability of a boundary value problem for the equations of a viscous heat-conducting gas under the radiative transfer conditions

E. V. Amosovaab

a Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, 690041, Vladivostok, Russia
b Far Eastern Federal University, 690091, Vladivostok, Russia
DOI: https://doi.org/10.31857/S004446692207002X
Abstract: A model of a viscous ideal gas under conditions of radiative-convective heat conduction is considered. The unique solvability of the boundary value problem is proved in the classes of generalized and classical solutions for the equations of complex heat transfer in a compressible medium on an interval.
Key words: system of Navier–Stokes equations, radioactive gas, global solvability.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00113 a
This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00113a).
Received: 12.01.2022
Revised: 07.02.2022
Accepted: 11.03.2022
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 7, Pages 1074–1088
DOI: https://doi.org/10.1134/S0965542522070028
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: E. V. Amosova, “On the global solvability of a boundary value problem for the equations of a viscous heat-conducting gas under the radiative transfer conditions”, Zh. Vychisl. Mat. Mat. Fiz., 62:7 (2022), 1100–1114; Comput. Math. Math. Phys., 62:7 (2022), 1074–1088
Citation in format AMSBIB
\Bibitem{Amo22}
\by E.~V.~Amosova
\paper On the global solvability of a boundary value problem for the equations of a viscous heat-conducting gas under the radiative transfer conditions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 7
\pages 1100--1114
\mathnet{http://mi.mathnet.ru/zvmmf11422}
\crossref{https://doi.org/10.31857/S004446692207002X}
\elib{https://elibrary.ru/item.asp?id=48621820}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 7
\pages 1074--1088
\crossref{https://doi.org/10.1134/S0965542522070028}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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