An inverse problem for Bingham type fluids
Authors:
- Jing Zhao,
- Jiahong He,
- Stanisław Migórski,
- Sylwia Dudek
Abstract
In this paper we study a coefficient identification problem described by an elliptic variational-hemivariational inequality with unilateral constraints. The inequality is the weak formulation of the mathematical model of a stationary incompressible flow of Bingham type in a bounded domain. The unknown coefficient is a generalized viscosity function of the fluid. The boundary conditions represent generalizations of the no leak condition and a multivalued and nonmonotone version of a nonlinear Navier–Fujita frictional slip condition. The result on well posedness of the direct problem is established based on the theory of multivalued pseudomonotone operators. The existence to the inverse problem is proved by a Weierstrass type argument.
- Record ID
- CUT743896550b7a4ca59a52638a80bf0b79
- Publication categories
- ;
- Author
- Journal series
- Journal of Computational and Applied Mathematics, ISSN 0377-0427, e-ISSN 1879-1778
- Issue year
- 2022
- Vol
- 404
- Pages
- [1-14]
- Article number
- 113906
- Other elements of collation
- Bibliografia (na s.) - 13-14; Bibliografia (liczba pozycji) - 43; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 404
- Keywords in English
- inverse problem, Bingham fluid, variational-hemivariational inequality, generalized subgradient, leak and slip condition
- ASJC Classification
- ;
- DOI
- DOI:10.1016/j.cam.2021.113906 Opening in a new tab
- URL
- https://www.sciencedirect.com/science/article/pii/S037704272100529X Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 100
- Score source
- journalList
- Score
- Publication indicators
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT743896550b7a4ca59a52638a80bf0b79/
- URN
urn:pkr-prod:CUT743896550b7a4ca59a52638a80bf0b79
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