Optimal Control of Quasi-Stationary Equations of Complex Heat Transfer with Reflection and Refraction Conditions

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The paper considers a class of optimal control problems for a nonlinear parabolic-elliptic system simulating radiative heat transfer with Fresnel matching conditions on surfaces of discontinuity of the refractive index. New estimates for the solution of the initial-boundary value problem are obtained, on the basis of which the solvability of optimal control problems is proved. Non-degenerate first-order optimality conditions are derived. The results are examplified by control problems with final, boundary, and distributed observations.

作者简介

A. Chebotarev

Regional Scientific and Educational Mathematical Center, Far Eastern Federal University

编辑信件的主要联系方式.
Email: chebotarev.ayu@dvfu.ru
690922, Vladivostok, Russia

参考

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