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Dal'nevostochnyi Matematicheskii Zhurnal, 2022, Volume 22, Number 1, Pages 100–106
DOI: https://doi.org/10.47910/FEMJ202210 (Mi dvmg473) 		 
Initial-boundary value problem for the equations of radiative heat transfer with Fresnel conjugation conditions

A. Yu. Chebotarev

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
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DOI: https://doi.org/10.47910/FEMJ202210
Abstract: Non-local in time, unique solvability of an inhomogeneous initial-boundary value problem for a nonlinear system simulating complex heat transfer with conditions of reflection and refraction on the discontinuity surfaces of the refractive index is proved.
Key words: quasi-static equations of complex heat transfer, Fresnel conjugation conditions, inhomogeneous initial-boundary value problem, non-local unique solvability.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00113
The work was carried out with the support of the RFBR (project 20-01-00113).
Received: 11.05.2022
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: Primary 35J61; Secondary 35Q79
Language: Russian
Citation: A. Yu. Chebotarev, “Initial-boundary value problem for the equations of radiative heat transfer with Fresnel conjugation conditions”, Dal'nevost. Mat. Zh., 22:1 (2022), 100–106
Citation in format AMSBIB
\Bibitem{Che22}
\by A.~Yu.~Chebotarev
\paper Initial-boundary value problem for the equations of radiative heat transfer with Fresnel conjugation conditions
\jour Dal'nevost. Mat. Zh.
\yr 2022
\vol 22
\issue 1
\pages 100--106
\mathnet{http://mi.mathnet.ru/dvmg473}
\crossref{https://doi.org/10.47910/FEMJ202210}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4448033}
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