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Dal'nevostochnyi Matematicheskii Zhurnal, 2021, Volume 21, Number 1, Pages 113–121
DOI: https://doi.org/10.47910/FEMJ202110 (Mi dvmg451) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Optimal control of the radiation heat exchange equations for multi-component media

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/FEMJ202110
Abstract: An analysis of optimal control problems for nonlinear elliptic equations modeling complex heat transfer with Fresnel conjugation conditions on the discontinuity surfaces of the refractive index is presented. Conditions for the solvability of extremal problems and the nondegeneracy of the optimality system are obtained. For the control problem with boundary observation, the bang-bang property is set.
Key words: stationary equations of radiative heat transfer, Fresnel conjugation conditions, optimal control problems.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00113
Received: 27.04.2021
Document Type: Article
UDC: 517.95
MSC: Primary 35J61; Secondary 35Q79
Language: Russian
Citation: A. Yu. Chebotarev, “Optimal control of the radiation heat exchange equations for multi-component media”, Dal'nevost. Mat. Zh., 21:1 (2021), 113–121
Citation in format AMSBIB
\Bibitem{Che21}
\by A.~Yu.~Chebotarev
\paper Optimal control of the radiation heat exchange equations for
multi-component media
\jour Dal'nevost. Mat. Zh.
\yr 2021
\vol 21
\issue 1
\pages 113--121
\mathnet{http://mi.mathnet.ru/dvmg451}
\crossref{https://doi.org/10.47910/FEMJ202110}
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