A class of variational-hemivariational inequalities for Bingham type fluids
Authors:
- Stanisław Migórski,
- Sylwia Dudek
Abstract
In this paper we investigate a new class of elliptic variational–hemivariational inequalities without the relaxed monotonicity condition of the generalized subgradient. The inequality describes the mathematical model of the steady state flow of incompressible fluid of Bingham type in a bounded domain. The boundary condition represents a generalization of the no leak condition, and a multivalued and nonmonotone version of a nonlinear Navier–Fujita frictional slip condition. The analysis provides results on existence of solution to a variational–hemivariational inequality, continuous dependence of the solution on the data, existence of solutions to optimal control problems, and the dependence of the solution on the yield limit. The proofs profit from results of nonsmooth analysis and the theory of multivalued pseudomontone operators.
- Record ID
- CUT90e87adcf9e7432ea8361c817cfa5d5b
- Publication categories
- ;
- Author
- Journal series
- Applied Mathematics and Optimization, ISSN 0095-4616, e-ISSN 1432-0606
- Issue year
- 2022
- Vol
- 85
- No
- 2
- Pages
- [1-29]
- Article number
- 16
- Other elements of collation
- Bibliografia (na s.) - 28-29; Bibliografia (liczba pozycji) - 37; Oznaczenie streszczenia - Abstr.; Data udostępnienia on-line - 2022-04-13; Numeracja w czasopiśmie - Vol. 85, Iss. 2
- Keywords in English
- Bingham type fluid, variational-hemivariational inequality, generalized subgradient, leak and slip condition, optimal control
- ASJC Classification
- ;
- DOI
- DOI:10.1007/s00245-022-09855-2 Opening in a new tab
- URL
- https://link.springer.com/article/10.1007/s00245-022-09855-2 Opening in a new tab
- Related project
- Nieliniowe nierówności różniczkowe wariacyjno-hemiwariacyjne i ich zastosowania. . Project leader at PK: , ,
- 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/CUT90e87adcf9e7432ea8361c817cfa5d5b/
- URN
urn:pkr-prod:CUT90e87adcf9e7432ea8361c817cfa5d5b
* 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.