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Stationary Oberbeck–Boussinesq model of generalized Newtonian fluid governed by multivalued partial differential equations
Authors:
- Sylwia Dudek,
- Piotr Kalita,
- Stanisław Migórski
Abstract
A generalization of the Oberbeck–Boussinesq model consisting of a system of steady state multivalued partial differential equations for incompressible, generalized Newtonian of the p-power type, viscous flow coupled with the nonlinear heat equation is studied in a bounded domain. The existence of a weak solution is proved by combining the surjectivity method for operator inclusions and a fixed point technique.
- Record ID
- CUT940d6d0df5e04b8d9499cd0ff4d6d3b4
- Publication categories
- ;
- Author
- Journal series
- Applicable Analysis, ISSN 0003-6811, e-ISSN 1563-504X
- Issue year
- 2017
- Vol
- 96
- No
- 13
- Pages
- 2192-2217
- Other elements of collation
- Bibliografia (na s.) - 2216-2217; Bibliografia (liczba pozycji) - 34; Oznaczenie streszczenia - Abstr.; Data udostępnienia on-line - 2016-07-20; Numeracja w czasopiśmie - Vol. 96, Iss. 13
- Keywords in English
- generalized Newtonian fluid, Oberbeck-Boussinesq model, multivalued boundary conditions, hemivariational inequality
- DOI
- DOI:10.1080/00036811.2016.1209743 Opening in a new tab
- URL
- http://www.tandfonline.com/doi/full/10.1080/00036811.2016.1209743 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 25
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT940d6d0df5e04b8d9499cd0ff4d6d3b4/
- URN
urn:pkr-prod:CUT940d6d0df5e04b8d9499cd0ff4d6d3b4
* 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.