Geodesic
Extremal problems for quasi-stationary equations of complex heat transfer with Fresnel coupling conditions
Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 1, pp. 133-140 
A. Yu. Chebotarev. Extremal problems for quasi-stationary equations of complex heat transfer with Fresnel coupling conditions. Dalʹnevostočnyj matematičeskij žurnal, Tome 24 (2024) no. 1, pp. 133-140. http://geodesic.mathdoc.fr/item/DVMG_2024_24_1_a11/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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