Well-posedness of steady-state Bingham type system by a quasi variational-hemivariational approach
Authors:
- Stanislaw Migórski,
- Sylwia Dudek
Abstract
A stationary incompressible Navier-Stokes equation with a nonmonotone slip boundary condition in a bounded domain for a Bingham type fluid is studied. The weak formulation of the fluid problem leads to a new class of elliptic quasi variational-hemivariational inequality with constraints. 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 and uniqueness of solution to the quasi variational-hemivariational inequality, and on continuous dependence of the solution on the data. The proofs profit from results of nonsmooth analysis, the theory of pseudomonotone operators, and a fixed point argument.
- Record ID
- CUT62db6991dce94d368061fec42a80270d
- Publication type
- Publication categories
- ; ;
- Author
- Pages
- 185-213
- Other elements of collation
- Bibliografia (na s.) - 210-213; Bibliografia (liczba pozycji) - 55; Oznaczenie streszczenia - Abstr.
- Book
- Dutta Hemen Hemen Dutta (eds.): Mathematical modelling : principle and theory, Contemporary Mathematics, no. 786, 2023, Providence, Rhode Island, American Mathematical Society, American Mathematical Society, ISBN 978-1-4704-7388-4 (online)
- Keywords in English
- Bingham type fluid, variational-hemivariational inequality
- DOI
- DOI:10.1090/conm/786/15797 Opening in a new tab
- URL
- https://www.ams.org/books/conm/786/ 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)
- 20
- Score source
- publisherList
- Score
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT62db6991dce94d368061fec42a80270d/
- URN
urn:pkr-prod:CUT62db6991dce94d368061fec42a80270d
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