论文标题
具有接触力学应用的差分准分子不平等的最佳控制
Optimal control of differential quasivariational inequalities with applications in contact mechanics
论文作者
论文摘要
我们考虑了一个差异的准级别不平等，我们陈述并证明解决方案相对于数据的持续依赖性。这种收敛结果使我们能够证明与关联的控制问题至少存在一个最佳对。最后，我们在研究一个自由边界问题的研究中说明了我们的抽象结果，该问题描述了粘弹性体在与刚性弹性层由刚体湾的基础的无摩擦接触中的平衡。
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 coveblack by a rigid-elastic layer.
