Shape optimization for Stokes problem with threshold slip
Jaroslav Haslinger, Jan Stebel, Taoufik Sassi (2014)
Applications of Mathematics
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We study the Stokes problems in a bounded planar domain with a friction type boundary condition that switches between a slip and no-slip stage. Our main goal is to determine under which conditions concerning the smoothness of solutions to the Stokes system with the slip boundary conditions depend continuously on variations of . Having this result at our disposal, we easily prove the existence of a solution to optimal shape design problems for a large class of cost functionals. In...