報告題目：On the optimal control of variational-hemivariational inequalities

報告人：肖義彬（電子科技大學，教授 博導）

時間：2020年6月19日15:00-16:30

地點：騰訊會議，會議號：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.

報告人簡介：肖義彬，電子科技大學數學科學學院教授，博士生導師。2009年6月于四川大學獲運籌學與控制論專業博士學位，先后于香港理工大學、加拿大英屬哥倫比亞大學做博士后研究。主要從事變分不等式、半變分不等式、非光滑分析、最優化理論及其在工程、力學以及管理科學中的應用等方面的研究。到目前為止，已在國內外知名的學術刊物上發表SCI、SSCI收錄論文五十余篇；主持國家自然科學基金面上項目、青年基金項目,中國博士后科學基金特別資助項目，國家留學人員回國基金項目，四川省科技計劃應用基礎重點項目等十余項國家級、省部級科研項目。現為美國《Mathematical Reviews》的評論員，德國《數學文摘》評論員，中國運籌學會數學規劃分會青年理事，四川省第十批學術帶頭人后備人選，四川省數學會理事。

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舉辦單位：理學院、科研處、人工智能研究院