Special Session 110: Evolution Equations with Applications to Control, Mathematical Modeling and Mechanics

Time-dependent variational-hemivariational inequalities with applications

Anna Ochal
Jagiellonian University
Poland
Co-Author(s):    Anna Kulig (Jagiellonian University in Krakow, Poland)
Abstract:
In the talk a class of time-dependent variational-hemivariational inequalities is studied. The existence and uniqueness of a solution are proved. Then, the convergence result for a penalized form of the problem is provided. Finally, the results are applied to a quasistatic frictional contact problem for locking materials.The contact is modeled with friction and a nonsmooth multivalued interface law. The law involves unilateral constraints and subdifferential conditions.