学术报告（12.29）: 韩渭敏：Analysis, Numerical Solution, and Applications of Variational-hemivariational Inequalities
报告人：韩渭敏教授，美国爱荷华大学 (The University of Iowa) 数学系
时间：2023/12/29, 下午3:50-5:00
地点: 金融工程研究中心105学术报告厅
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.
In this talk, we will provide an overview of the mathematical thoery and numerical analysis of families of variational-hemivariational inequalities, with applications in solid mechanics and fluid mechanics. We 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 modern PDEs and numerical methods.
邀请人：丁睿