Shape optimization for Stokes problem with threshold slip boundary conditions

• ID: 2766, RIV: 10367013
• ISSN: 1937-1632, ISBN: not specified
• source: Discrete and Continuous Dynamical Systems - Series S
• keywords: threshold slip boundary conditions; Stokes flow; shape optimization; stability of solutions with respect to domains.
• authors: Jaroslav Haslinger, Raino Mäkinen, Jan Stebel
• authors from KNM: Haslinger Jaroslav

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.