Boundary optimal control problem of complex heat transfer model

A boundary optimal control problem of complex heat transfer is under consideration. The problem is composed of a nonstationary heat transfer equation and the steady-state P1 approximation of the radiative heat transfer. The control parameter is related to the reflection coefficient of the boundary....

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2016-01, Vol.433 (2), p.1243-1260
Main Authors: Grenkin, Gleb V., Chebotarev, Alexander Yu, Kovtanyuk, Andrey E., Botkin, Nikolai D., Hoffmann, Karl-Heinz
Format: Article
Language:English
Subjects:
Bang-bang
Conductive heat transfer
Convective heat transfer
Optimal control
Radiative heat transfer
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Summary:A boundary optimal control problem of complex heat transfer is under consideration. The problem is composed of a nonstationary heat transfer equation and the steady-state P1 approximation of the radiative heat transfer. The control parameter is related to the reflection coefficient of the boundary. The solvability of the control problem is proven, and the optimality system is derived. Results of numerical simulations are presented.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2015.08.049