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

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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. 
@article{DVMG_2024_24_1_a11,
     author = {A. Yu. Chebotarev},
     title = {Extremal problems for quasi-stationary equations of complex heat transfer with {Fresnel} coupling conditions},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {133--140},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2024_24_1_a11/}
}
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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/