Constrained evolutionary variational–hemivariational inequalities with application to fluid flow model
Authors:
- Stanisław Migórski,
- Sylwia Dudek
Abstract
We study a new class of abstract evolution variational–hemivariational inequalities with constraints in the framework of evolution triples of spaces. Existence of solution is established based on the so-called mixed equilibrium problem formulation. Then, we apply this result to a mathematical analysis of the unsteady Oseen model for a generalized Newtonian incompressible fluid. A variational–hemivariational inequality for the flow problem is derived and sufficient conditions for existence of weak solutions are obtained. The mixed boundary conditions involve a unilateral boundary condition, the Navier slip condition, a nonmonotone version of the nonlinear Navier–Fujita slip condition, and the threshold slip and leak condition of frictional type.
- Record ID
- CUTa9dd3c7c8058457697865fc0a1a37cd8
- Publication categories
- ;
- Author
- Journal series
- Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, e-ISSN 1878-7274
- Issue year
- 2023
- Vol
- 127
- Pages
- [1-16]
- Article number
- 107555
- Other elements of collation
- Bibliografia (na s.) - 16; Bibliografia (liczba pozycji) - 54; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 127
- Keywords in English
- variational–hemivariational inequality, oseen model, operator inclusion, generalized newtonian fluid, unilateral boundary condition
- ASJC Classification
- ; ;
- DOI
- DOI:10.1016/j.cnsns.2023.107555 Opening in a new tab
- URL
- https://www.sciencedirect.com/science/article/pii/S1007570423004768 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/CUTa9dd3c7c8058457697865fc0a1a37cd8/
- URN
urn:pkr-prod:CUTa9dd3c7c8058457697865fc0a1a37cd8
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