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The parameter identification in the Stokes system with threshold slip boundary conditions
Author(s) -
Haslinger Jaroslav,
Mäkinen Raino A. E.
Publication year - 2020
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201900209
Subject(s) - slip (aerodynamics) , boundary value problem , mathematics , boundary (topology) , slip ratio , stokes problem , control theory (sociology) , mathematical analysis , computer science , mechanics , physics , control (management) , artificial intelligence , shear stress , finite element method , thermodynamics
The paper is devoted to an identification of the slip bound function g in the Stokes system with threshold slip boundary conditions assuming that g depends on the tangential velocity u τ . To this end the optimal control approach is used. To remove its nonsmoothness we use a regularized form of the slip conditions in the state problem. The mutual relation between solutions to the original optimization problem and the problems with regularized states is analyzed. The paper is completed by numerical experiments.