A1 Journal article (refereed)
The parameter identification in the Stokes system with threshold slip boundary conditions (2020)

Haslinger, J., & Mäkinen, R. A. E. (2020). The parameter identification in the Stokes system with threshold slip boundary conditions. ZAMM : Zeitschrift für Angewandte Mathematik und Mechanik, 100(5), Article e201900209. https://doi.org/10.1002/zamm.201900209

JYU authors or editors

Publication details

All authors or editors: Haslinger, Jaroslav; Mäkinen, Raino A. E.

Journal or series: ZAMM : Zeitschrift für Angewandte Mathematik und Mechanik

ISSN: 0044-2267

eISSN: 1521-4001

Publication year: 2020

Volume: 100

Issue number: 5

Article number: e201900209

Publisher: Wiley-VCH Verlag

Publication country: Germany

Publication language: English

DOI: https://doi.org/10.1002/zamm.201900209

Publication open access: Not open

Publication channel open access: 

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/68050

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 𝑢𝜏 . 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.

Keywords: parameters

Free keywords: parameter identification in flow models; Stokes system with slip conditions; threshold slip boundary conditions

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2020

JUFO rating: 1