Shape optimization for Stokes problem with threshold slip boundary conditions

Abstract

The paper deals with shape optimization of systems governed by the Stokes flow with threshold slip boundary conditions.Stability of solutions to the state problem with respect to a class of domains is established. For computational purposes the slip and impermeability conditions are regularized.

Numerical results are presented.

Keywords

• threshold slip boundary conditions
• Stokes flow
• shape optimization
• stability of solutions with respect to domains.