Mixed Finite Element Methods for Hemivariational Inequalities in Fluid Mechanics

Speaker: Prof. HAN Weimin, Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA

Venue: Room 105, Building 2, Haina Court, Zijingang Campus

Abstract: 

Recently, studies of hemivariational inequalities have attracted much attention in the research communities. Hemivariational inequalities are generalizations of variational inequalities. Through the formulation of hemivariational inequalities, application problems involving nonmonotone, nonsmooth and multivalued constitutive laws, forces, and boundary conditions can be treated successfully.

In this talk, we introduce models of hemivariational inequalities in fluid mechanics, and present recent and new results on well-posedness analysis and mixed finite element methods for the Stokes and Navier-Stokes hemivariational inequalities.

Contact person: Prof. CHENG Xiaoliang, Prof. LIANG Kewei