FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Theoretical analysis of cloaking problem for 3D model of heat conduction |
G. V. Alekseev |
2022, issue 2, P. 143-149 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. |
Keywords: inverse problem, heat conduction, solvability, optimality system |
Download the article (PDF-file) |
References |
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