Contrôle par les coefficients dans le modèle elrod-adams
Mohamed El Alaoui Talibi; Abdellah El Kacimi
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 6, page 97-118
- ISSN: 1292-8119
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topMohamed El Alaoui Talibi, and El Kacimi, Abdellah. "Contrôle par les coefficients dans le modèle elrod-adams." ESAIM: Control, Optimisation and Calculus of Variations 6 (2010): 97-118. <http://eudml.org/doc/197320>.
@article{MohamedElAlaouiTalibi2010,
abstract = {
The purpose of this paper is to study a control by
coefficients problem issued from the elastohydrodynamic lubrication. The
control variable is the film thickness.The cavitation phenomenon takes place
and described by the Elrod-Adams model, suggested in preference to the
classical variational inequality due to its ability to describe input and
output flow.
The idea is to use the penalization in the state equation by
approximating the Heaviside graph whith a sequence of monotone and regular
functions. We derive a necessary condition for the regularized problem, then
we establish estimates of the state and the adjoint state in the one
dimensional case. Next we pass to the limit.
},
author = {Mohamed El Alaoui Talibi, El Kacimi, Abdellah},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Contrôle optimal; identification des coefficients; lubrification;
problème elliptique non linéaire; régularisation.; optimal control; elastohydrodynamic identification of coefficients; nonlinear elliptic problems; regularization},
language = {eng},
month = {3},
pages = {97-118},
publisher = {EDP Sciences},
title = {Contrôle par les coefficients dans le modèle elrod-adams},
url = {http://eudml.org/doc/197320},
volume = {6},
year = {2010},
}
TY - JOUR
AU - Mohamed El Alaoui Talibi
AU - El Kacimi, Abdellah
TI - Contrôle par les coefficients dans le modèle elrod-adams
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 6
SP - 97
EP - 118
AB -
The purpose of this paper is to study a control by
coefficients problem issued from the elastohydrodynamic lubrication. The
control variable is the film thickness.The cavitation phenomenon takes place
and described by the Elrod-Adams model, suggested in preference to the
classical variational inequality due to its ability to describe input and
output flow.
The idea is to use the penalization in the state equation by
approximating the Heaviside graph whith a sequence of monotone and regular
functions. We derive a necessary condition for the regularized problem, then
we establish estimates of the state and the adjoint state in the one
dimensional case. Next we pass to the limit.
LA - eng
KW - Contrôle optimal; identification des coefficients; lubrification;
problème elliptique non linéaire; régularisation.; optimal control; elastohydrodynamic identification of coefficients; nonlinear elliptic problems; regularization
UR - http://eudml.org/doc/197320
ER -
References
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