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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
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.
Received: 16.06.2022
Citation:
G. V. Alekseev, “Theoretical analysis of cloaking problem for 3D model of heat conduction”, Dal'nevost. Mat. Zh., 22:2 (2022), 143–149
Linking options:
https://www.mathnet.ru/eng/dvmg477 https://www.mathnet.ru/eng/dvmg/v22/i2/p143
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Abstract page: | 93 | Full-text PDF : | 38 | References: | 28 |
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