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
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topManservisi, 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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