Session S01 - Modeling and Computation for Control and Optimization of Biological and Physical Systems

Wednesday, July 14, 18:50 ~ 19:15 UTC-3

Optimal control of differential quasivariationalinequalities with applications in contact mechanics

Julieta Bollati

CONICET-Depto de Matemática, FCE-Universidad Austral, Paraguay 1950, 2000 Rosario, Argentina, Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We consider a differential quasivariational inequality for which we state and prove the continuous dependence of the solution with respect to the data. This convergence result allows us to prove the existence of at least one optimal pair for an associated control problem. Finally, we illustrate our abstract results in the study of a free boundary problem which describes the equilibrium of a viscoelastic body in frictionless contact with a foundation made of a rigid body covered by a rigid-elastic layer.

Joint work with D.A. Tarzia (CONICET-Depto de Matemática, FCE-Universidad Austral, Paraguay 1950, 2000 Rosario, Argentina) and M. Sofonea (Département de Mathématiques, Université de Perpignan Via Domitia, 52 Avenue Paul Alduy, 66860 Perpignan, France).

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