On the optimal control of variational-hemivariational inequalities

报告题目：On the optimal control of variational-hemivariational inequalities

报告人：肖义彬（电子科技大学，教授 博导）

时间：2020年6月19日15:00-16:30

地点：腾讯会议，会议号：315 519 115

摘要:In this talk, we focus on an elliptic variational-hemivariational inequality in Banach space. We prove a continuous dependence of the solution with respect to a parameter which appears in all the data of the problem, including the set of constraints, the nonlinear operator and the two functionals which govern the variational-hemivariational inequality. This allows us to consider a general associated optimal control problem for which we prove the existence of optimal pairs, together with a new convergence result. The mathematical tools developed are useful in the analysis and control of a large class of boundary value problems which, in a weak formulation, lead to elliptic variational-hemivariational inequalities. To provide an example, we illustrate our results in the study of an inequality which describes the equilibrium of an elastic body in frictional contact with a foundation made of a rigid body covered by a layer of soft material.

报告人简介：肖义彬，电子科技大学数学科学学院教授，博士生导师。2009年6月于四川大学获运筹学与控制论专业博士学位，先后于香港理工大学、加拿大英属哥伦比亚大学做博士后研究。主要从事变分不等式、半变分不等式、非光滑分析、最优化理论及其在工程、力学以及管理科学中的应用等方面的研究。到目前为止，已在国内外知名的学术刊物上发表SCI、SSCI收录论文五十余篇；主持国家自然科学基金面上项目、青年基金项目,中国博士后科学基金特别资助项目，国家留学人员回国基金项目，皇家永利科技计划应用基础重点项目等十余项国家级、省部级科研项目。现为美国《Mathematical Reviews》的评论员，德国《数学文摘》评论员，中国运筹学会数学规划分会青年理事，皇家永利第十批学术带头人后备人选，皇家永利数学会理事。

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举办单位：理学院、科研处、人工智能研究院