Optimal control of differential quasivariational inequalities with applications in contact mechanics

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:493

Article

Sofonea, Mircea¹  Bollati, Julieta²  Tarzia, Domingo A.² 

[1] Univ Perpignan Via Domitia, Dept Math, 52 Ave Paul Alduy, F-66860 Perpignan, France

[2] Univ Austral, FCE, CONICET, Dept Matemat, Paraguay 1950,S2000FZF, Rosario, Santa Fe, Argentina

关键词: Differential quasivariational inequality;    Convergence results;    Optimal control;    Viscoelastic material;    Unilateral constraint;   

DOI  :  10.1016/j.jmaa.2020.124567

来源: Elsevier

【 摘 要 】

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. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free