计算与应用讨论班

报告题目： Variational-Hemivariational Inequalities: Theory, Numerical Analysis, and Applications

报告人：Weimin Han（Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA）

时间：2026年5月28日14：00

地点：海纳苑2幢202

报告摘要：In recent years, modeling, mathematical analysis, and numerical solution of hemivariational inequalities, or more generally, variational-hemivariational inequalities, have attracted much attention in the research communities.  Through the formulation of variational-hemivariational inequalities, application problems involving nonsmooth, monotone or non-monotone, multivalued constitutive laws, forces, and boundary conditions can be treated successfully. Variational-hemivariational inequalities have been successfully applied in a wide variety of subjects, ranging from nonsmooth mechanics, physics, engineering, to economics. 

This talk will provide an overview of the mathematical theory and numerical analysis of families of variational-hemivariational inequalities, with applications in contact mechanics.  It will begin with a brief discussion of a model boundary value problem of an elliptic PDE, and then naturally extend the discussion to sample variational inequalities and hemivariational inequalities.  The talk will be accessible to anyone with basic knowledge of PDEs.

报告人简介：Professor Han Weimin, who graduated from Fudan University in 1983, received a master's degree from the Chinese Academy of Sciences in 1986 and a doctor's degree from the University of Maryland in 1991. Since 1991, he has been working at the University of Iowa in the United States. Now he is professor and director of the department of mathematics and director of the interdisciplinary doctoral training base of applied mathematics and computational science (AMCS). He has published more than 190 academic papers, including invited articles on Acta Numerica, the international top magazine, and 12 monographs. Due to his outstanding contributions, the University of Iowa awarded him the title of Collegiate fellow in 2010 and Simons fellow in 2012.

联系人：梁克维（matlkw@zju.edu.cn）