The parameter identification in the Stokes system with threshold slip boundary conditions
Abstract
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 đ˘đ . 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.
Main Authors
Format
Articles
Research article
Published
2020
Series
Subjects
Publication in research information system
Publisher
Wiley-VCH Verlag
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202003042272Use this for linking
Review status
Peer reviewed
ISSN
0044-2267
DOI
https://doi.org/10.1002/zamm.201900209
Language
English
Published in
ZAMM : Zeitschrift fĂźr Angewandte Mathematik und Mechanik
Citation
- Haslinger, J., & Mäkinen, R. A. E. (2020). The parameter identification in the Stokes system with threshold slip boundary conditions. ZAMM : Zeitschrift fßr Angewandte Mathematik und Mechanik, 100(5), Article e201900209. https://doi.org/10.1002/zamm.201900209
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Additional information about funding
The first author acknowledges the support by the grant No. 17â01747S of the Czech Science Foundation.
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