Evolutionary Oseen model for generalized newtonian fluid with multivalued nonmonotone friction law
Authors:
- Stanisław Migórski,
- Sylwia Dudek
Abstract
The paper deals with the non-stationary Oseen system of equations for the generalized Newtonian incompressible fluid with multivalued and nonmonotone frictional slip boundary conditions. First, we provide a result on existence of a unique solution to an abstract evolutionary inclusion involving the Clarke subdifferential term for a nonconvex function. We employ a method based on a surjectivity theorem for multivalued L-pseudomonotone operators. Then, we exploit the abstract result to prove the weak unique solvability of the Oseen system.
- Record ID
- CUT0fabf91b3939442786e8e0c21fdf60df
- Publication categories
- ;
- Author
- Journal series
- Journal of Mathematical Fluid Mechanics, ISSN 1422-6928, e-ISSN 1422-6952
- Issue year
- 2018
- Vol
- 20
- No
- 3
- Pages
- 1317-1333
- Other elements of collation
- Bibliografia (na s.) - 1332-1333; Bibliografia (liczba pozycji) - 32; Oznaczenie streszczenia - Abstr.; Data udostępnienia on-line - 2018-03-16; Numeracja w czasopiśmie - Vol. 20, Iss. 3
- Keywords in English
- Oseen model, generalized Newtonian fluid, hemivariational inequality, L-pseudomonotonicity, Clarke subdifferential, friction-type law, slip boundary condition
- DOI
- DOI:10.1007/s00021-018-0367-4 Opening in a new tab
- URL
- https://link.springer.com/article/10.1007/s00021-018-0367-4 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 25
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT0fabf91b3939442786e8e0c21fdf60df/
- URN
urn:pkr-prod:CUT0fabf91b3939442786e8e0c21fdf60df
* 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.