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Lecturer: Xiao Yibin (University of Electronic Science and Technology of China, professor and doctoral supervisor)

Time: 15:00-16:30, June 19, 2020

Access: Tencent Conference, conference #: 315 519 115

Abstract: 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.

Brief introduction of the lecturer:

Xiao Yibin is a professor and doctoral supervisor at the School of Mathematical Sciences, University of Electronic Science and Technology of China. He was once engaged in post-doctoral study at The Hong Kong Polytechnic University and The University of British Columbia in Canada. He has published more than 50 SCI and SSCI papers in well-known academic journals at home and abroad. He is currently a commentator of Mathematical Reviews in the United States, a commentator of Mathematical Abstracts in Germany, and a council member of the Sichuan Mathematical Society[A1] .

All teachers and students are welcome to participate in the academic exchange!

Organizer:

School of Sciences

Research Division of Southwest Petroleum University

School of Artificial Intelligence Research