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Dal'nevostochnyi Matematicheskii Zhurnal, 2024, Volume 24, Number 1, Pages 133–140
DOI: https://doi.org/10.47910/FEMJ202412 (Mi dvmg537) 		 
Extremal problems for quasi-stationary equations of complex heat transfer with Fresnel coupling conditions

A. Yu. Chebotarev

Far Eastern Federal University, Vladivostok
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DOI: https://doi.org/10.47910/FEMJ202412
Abstract: The analysis of optimal control problems for a nonlinear system simulating unsteady complex heat transfer with Fresnel coupling conditions on refractive index discontinuity surfaces is considered. Estimates for the solution of the initial-boundary value problem, the solvability of control problems are presented, and optimality conditions leading to the relay nature of optimal control are derived.
Key words: quasi-stationary complex heat transfer equations, Fresnel conjugation conditions, optimal control problems, optimality system, property “bang–bang”.
Funding agency Grant number
Russian Science Foundation 23-21-00087
The study was supported by the Russian Science Foundation grant No. 23-21-00087.
Received: 06.03.2023
Accepted: 24.05.2024
Document Type: Article
UDC: 517.95
MSC: Primary 35J61; Secondary 35Q79
Language: Russian
Citation: A. Yu. Chebotarev, “Extremal problems for quasi-stationary equations of complex heat transfer with Fresnel coupling conditions”, Dal'nevost. Mat. Zh., 24:1 (2024), 133–140
Citation in format AMSBIB
\Bibitem{Che24}
\by A.~Yu.~Chebotarev
\paper Extremal problems for quasi-stationary equations of complex heat transfer with Fresnel coupling conditions
\jour Dal'nevost. Mat. Zh.
\yr 2024
\vol 24
\issue 1
\pages 133--140
\mathnet{http://mi.mathnet.ru/dvmg537}
\crossref{https://doi.org/10.47910/FEMJ202412}
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