FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Extremal problems for quasi-stationary equations of complex heat transfer with Fresnel coupling conditions |
Chebotarev A.Yu. |
2024, issue 1, P. 133-140 DOI: https://doi.org/10.47910/FEMJ202412 |
Abstract |
| 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. |
Keywords: quasi-stationary complex heat transfer equations, Fresnel conjugation conditions, optimal control problems, optimality system, property “bang-bang”. |
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References |
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