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Steady flow with unilateral and leak/slip boundary conditions by the Stokes variational–hemivariational inequality
Authors:
- Stanisław Migórski,
- Sylwia Dudek
Abstract
The stationary Stokes equations for a generalized Newtonian fluid with nonlinear unilateral, and slip and leak boundary conditions are investigated. Boundary conditions include the generalized Clarke gradient and the convex subdifferential, and the variational formulation of the problem is the variational–hemivariational inequality for the velocity field. Existence and uniqueness result for weak solution is proved by using a surjectivity theorem for a pseudomonotone perturbation of a maximal monotone operator.
- Record ID
- CUT2b3f89a3a65d4a7687a396a906e23e93
- Publication categories
- ;
- Author
- Journal series
- Applicable Analysis, ISSN 0003-6811, e-ISSN 1563-504X
- Issue year
- 2022
- Vol
- 101
- No
- 8
- Pages
- 2949-2965
- Other elements of collation
- schem.; Bibliografia (na s.) - 2964-2965; Bibliografia (liczba pozycji) - 42; Oznaczenie streszczenia - Abstr.; Data udostępnienia on-line - 2020-10-15; Numeracja w czasopiśmie - Vol. 101, Iss. 8
- Keywords in English
- stokes equation, generalized Newtonian fluid, unilateral boundary condition, slip, leak, frictional boundary condition
- ASJC Classification
- ;
- DOI
- DOI:10.1080/00036811.2020.1834084 Opening in a new tab
- URL
- https://www.tandfonline.com/doi/full/10.1080/00036811.2020.1834084 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 70
- Score source
- journalList
- Score
- Publication indicators
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT2b3f89a3a65d4a7687a396a906e23e93/
- URN
urn:pkr-prod:CUT2b3f89a3a65d4a7687a396a906e23e93
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.