考虑反射和折射效应的辐射传导传热边界最优控制

2022 Days on Diffraction (DD) Pub Date : 2022-05-30 DOI:10.1109/DD55230.2022.9961049

N. Park, A. Chebotarev, A. Kovtanyuk

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引用次数: 0

摘要

研究了折射率不连续界面上具有菲涅耳共轭条件的模拟辐射传热非线性椭圆方程系统的边界最优控制问题。证明了最优控制问题的可解性和最优性条件的不退化性。

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Boundary optimal control of radiative-conductive heat transfer with reflection and refraction effects

The problem of boundary optimal control for a system of nonlinear elliptic equations simulating radiative heat transfer with Fresnel conjugation conditions on the interfaces of discontinuity of the refractive index is studied. The solvability of the optimal control problem and the non-degeneracy of the optimality conditions are proved.

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$2022 Days on Diffraction (DD)$

2022 Days on Diffraction (DD)

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