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On the optimal control of coefficients in elliptic problems. Application to the optimization of the head slider

Published online by Cambridge University Press:  15 December 2004

Ionel Ciuperca ,
Mohamed El Alaoui Talibi  and
Mohammed Jai
Ionel Ciuperca
Affiliation:
CNRS-UMR 5585 Université Lyon 1, MAPLY, 101, 69622 Villeurbanne Cedex, France.
Mohamed El Alaoui Talibi
Affiliation:
Department of Mathematics, Fac. Sciences Semlalia, 40000 Marrakech, Morocco.
Mohammed Jai
Affiliation:
CNRS-UMR 5585, INSA de LYON, Mathématiques Bât. Leonard de Vinci, 69621 Villeurbanne, France; [email protected]
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Abstract

We consider an optimal control problem for a class of non-linear elliptic equations. A result of existence and uniqueness of the state equation is proven under weaker hypotheses than in the literature. We also prove the existence of an optimal control. Applications to some lubrication problems and numerical results are given.

Keywords

Compressible Reynolds lubrication equationoptimal control problemsShauder fixed point theorem.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 11 , Issue 1 , January 2005 , pp. 102 - 121
Copyright
© EDP Sciences, SMAI, 2005

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