On some optimal control problems for the heat radiative transfer equation

Sandro Manservisi; Knut Heusermann

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 5, page 425-444
  • ISSN: 1292-8119

Abstract

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This paper is concerned with some optimal control problems for the Stefan-Boltzmann radiative transfer equation. The objective of the optimisation is to obtain a desired temperature profile on part of the domain by controlling the source or the shape of the domain. We present two problems with the same objective functional: an optimal control problem for the intensity and the position of the heat sources and an optimal shape design problem where the top surface is sought as control. The problems are analysed and first order necessity conditions in form of variation inequalities are obtained.

How to cite

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Manservisi, Sandro, and Heusermann, Knut. "On some optimal control problems for the heat radiative transfer equation." ESAIM: Control, Optimisation and Calculus of Variations 5 (2010): 425-444. <http://eudml.org/doc/116571>.

@article{Manservisi2010,
abstract = { This paper is concerned with some optimal control problems for the Stefan-Boltzmann radiative transfer equation. The objective of the optimisation is to obtain a desired temperature profile on part of the domain by controlling the source or the shape of the domain. We present two problems with the same objective functional: an optimal control problem for the intensity and the position of the heat sources and an optimal shape design problem where the top surface is sought as control. The problems are analysed and first order necessity conditions in form of variation inequalities are obtained. },
author = {Manservisi, Sandro, Heusermann, Knut},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Optimal control; heat radiative transfer; optimal shape design.; optimal shape design; optimal control},
language = {eng},
month = {3},
pages = {425-444},
publisher = {EDP Sciences},
title = {On some optimal control problems for the heat radiative transfer equation},
url = {http://eudml.org/doc/116571},
volume = {5},
year = {2010},
}

TY - JOUR
AU - Manservisi, Sandro
AU - Heusermann, Knut
TI - On some optimal control problems for the heat radiative transfer equation
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 5
SP - 425
EP - 444
AB - This paper is concerned with some optimal control problems for the Stefan-Boltzmann radiative transfer equation. The objective of the optimisation is to obtain a desired temperature profile on part of the domain by controlling the source or the shape of the domain. We present two problems with the same objective functional: an optimal control problem for the intensity and the position of the heat sources and an optimal shape design problem where the top surface is sought as control. The problems are analysed and first order necessity conditions in form of variation inequalities are obtained.
LA - eng
KW - Optimal control; heat radiative transfer; optimal shape design.; optimal shape design; optimal control
UR - http://eudml.org/doc/116571
ER -

References

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