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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
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-linearelliptic equations. A result of existence and uniqueness of the state equation is proven under weaker hypotheses than in theliterature. We also prove the existence of an optimalcontrol. Applications to some lubrication problems and numericalresults are given.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2005

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