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Dal'nevostochnyi Matematicheskii Zhurnal, 2022, Volume 22, Number 2, Pages 143–149
DOI: https://doi.org/10.47910/FEMJ202214 (Mi dvmg477) 		 
Theoretical analysis of cloaking problem for 3D model of heat conduction

G. V. Alekseev

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
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DOI: https://doi.org/10.47910/FEMJ202214
Abstract: The direct and extremal problems for the 3D heat conduction model are formulated which are associated with designing spherical thermal cloaking devices. The solvability of both problems is proved. An optimality system is constructed that describes the necessary conditions for an extremum. Some properties of optimal solutions which are consequence of the structure of the optimality system are established.
Key words: inverse problem, heat conduction, solvability, optimality system.
Funding agency Grant number
Russian Science Foundation 22-21-00271
The study was supported by the Russian Science Foundation Grant No. 22-21-00271.
Received: 16.06.2022
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: Primary 35Q79; Secondary 35Q93
Language: English
Citation: G. V. Alekseev, “Theoretical analysis of cloaking problem for 3D model of heat conduction”, Dal'nevost. Mat. Zh., 22:2 (2022), 143–149
Citation in format AMSBIB
\Bibitem{Ale22}
\by G.~V.~Alekseev
\paper Theoretical analysis of cloaking problem for 3D model of heat conduction
\jour Dal'nevost. Mat. Zh.
\yr 2022
\vol 22
\issue 2
\pages 143--149
\mathnet{http://mi.mathnet.ru/dvmg477}
\crossref{https://doi.org/10.47910/FEMJ202214}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4529948}
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