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Contrôle par les coefficients dans le modèle elrod-adams

Published online by Cambridge University Press:  15 August 2002

Mohamed El Alaoui Talibi  and
Abdellah El Kacimi
Mohamed El Alaoui Talibi
Affiliation:
Faculté des Sciences Semalila, Département de Mathématiques, BP. 2930 Marrakech, Maroc ; elalaoui@ucam.ac.ma.
Abdellah El Kacimi
Affiliation:
Faculté des Sciences Semalila, Département de Mathématiques, BP. 2930 Marrakech, Maroc ; elalaoui@ucam.ac.ma.
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Abstract

The purpose of this paper is to study a control bycoefficients problem issued from the elastohydrodynamic lubrication. Thecontrol variable is the film thickness.The cavitation phenomenon takes placeand described by the Elrod-Adams model, suggested in preference to theclassical variational inequality due to its ability to describe input andoutput flow.The idea is to use the penalization in the state equation  byapproximating the Heaviside graph whith a sequence of monotone and regularfunctions. We derive a necessary condition for the regularized problem,  thenwe establish estimates of the state and the adjoint state in the onedimensional case. Next we pass to the limit.

Keywords

Contrôle optimalidentification des coefficientslubrificationproblème elliptique non linéairerégularisation.

Information

Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 6 , 2001 , pp. 97 - 118
Copyright
© EDP Sciences, SMAI, 2001

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