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Contrôle par les coefficients dans le modèle Elrod-Adams

Mohamed El Alaoui TalibiAbdellah El Kacimi — 2001

ESAIM: Control, Optimisation and Calculus of Variations

Dans ce papier, nous étudions un problème de contrôle par les coefficients issu de la lubrification élastohydrodynamique. La variable de contrôle est l’épaisseur du fluide. Le phénomène de cavitation est pris en compte par le modèle Elrod-Adams, connu pour ses performances dans la conservation des débits d’entrée et de sortie. L’idée est de régulariser dans l’équation d’état le graphe d’Heaviside, en l’approchant par une suite de fonctions monotones et régulières. Nous dérivons les conditions d’optimalité...

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

Ionel CiupercaMohamed El Alaoui TalibiMohammed Jai — 2005

ESAIM: Control, Optimisation and Calculus of Variations

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.

Contrôle par les coefficients dans le modèle elrod-adams

Mohamed El Alaoui TalibiAbdellah El Kacimi — 2010

ESAIM: Control, Optimisation and Calculus of Variations

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....

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

Ionel CiupercaMohamed El Alaoui TalibiMohammed Jai — 2010

ESAIM: Control, Optimisation and Calculus of Variations

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.

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