Optimal boundary control of a steady-state heat transfer model accounting for radiative effects

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:439

Article

Kovtanyuk, Audrey E.^1,2  Chebotarev, Alexander Yu.^1,2  Botkin, Nikolai D.³  Hoffmann, Karl-Heinz³ 

[1] Far Eastern Fed Univ, Sukhanova St 8, Vladivostok 690950, Russia

[2] Inst Appl Math FEB RAS, Radio St 7, Vladivostok 690041, Russia

[3] Tech Univ Munich, Zentrum Math, Boltzmannstr 3, D-85747 Garching, Germany

关键词: Optimal control;    Radiative heat transfer;    Conductive heat transfer;    Convective heat transfer;    Diffusion approximation;   

DOI  :  10.1016/j.jmaa.2016.03.016

来源: Elsevier

【 摘 要 】

A boundary control problem for a nonlinear steady-state heat transfer model accounting for heat radiation effects is considered. The aim of control consists in obtaining a prescribed temperature distribution in a part of the model domain by controlling the boundary temperature. The solvability of this control problem is proven, and optimality conditions are derived. Numerical simulations are presented. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free