# 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 -

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