A generalized Stokes system with a non-smooth slip boundary condition
Authors:
- Jing Zhao,
- Stanislaw Migórski,
- Sylwia Dudek
Abstract
A class of quasi variational–hemivariational inequalities in reflexive Banach spaces is studied. The inequalities contain a convex potential, a locally Lipschitz superpotential and an implicit obstacle set of constraints. Results on the well-posedness including existence, uniqueness, dependence of solution on the data and the compactness of the solution set in the strong topology are established. The applicability of the results is illustrated by the steady-state generalized Stokes model of a generalized Newtonian incompressible fluid with a non-monotone slip boundary condition.
- Record ID
- CUTe61e7f7c9f8f4571be52eac48cfec250
- Publication categories
- ;
- Author
- Journal series
- Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences, ISSN 1364-503X, e-ISSN 1471-2962
- Issue year
- 2022
- Vol
- 380
- No
- 2236
- Pages
- [1-17]
- Other elements of collation
- Bibliografia (na s.) - 16-17; Bibliografia (liczba pozycji) - 25; Oznaczenie streszczenia - Streszcz. ang.; Data udostępnienia on-line - 2022-09-26; Numeracja w czasopiśmie - Vol. 380, Iss. 2236
- Substantive notes
- This article is part of the theme issue: Non-smooth variational problems and applications
- Keywords in English
- Bingham-type fluids, slip condition, variational-hemivariational inequality, Stokes equation
- ASJC Classification
- ; ;
- DOI
- DOI:10.1098/rsta.2021.0353 Opening in a new tab
- URL
- https://royalsocietypublishing.org/doi/10.1098/rsta.2021.0353 Opening in a new tab
- Related project
- Nieliniowe nierówności różniczkowe wariacyjno-hemiwariacyjne i ich zastosowania. . Project leader at PK: , ,
- Language
- eng (en) English
- Score (nominal)
- 100
- Score source
- journalList
- Score
- Publication indicators
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTe61e7f7c9f8f4571be52eac48cfec250/
- URN
urn:pkr-prod:CUTe61e7f7c9f8f4571be52eac48cfec250
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