Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (6)
- Authors
- Saadallah, Abdelkader; Benseridi, Hamid; Dilmi, Mourad
- Contact information
- Saadallah, Abdelkader: Applied Mathematics Laboratory, Department of Mathematics Setif I-University, 19000 Algeria; ; Benseridi, Hamid: Applied Mathematics Laboratory, Department of Mathematics Setif I-University, 19000 Algeria; ; Dilmi, Mourad: Applied Mathematics Laboratory, Department of Mathematics Setif I-University, 19000 Algeria;
- Keywords
- asymptotic approach; boundary conditions; Coupled problem; Fourier law; non-isothermal Bingham fluid; Tresca law; Reynolds equation
- Abstract
This paper deals with the asymptotic behavior of a coupled system involving of an incompressible Bing- ham fluid and the equation of the heat energy, in a three-dimensional bounded domain with Tresca free boundary friction conditions. First we prove the existence and uniqueness results for the weak solution. Second, we show the strong convergence of the velocity and the temperature. Then a specific Reynolds limit equation is obtained, and the uniqueness of the limit velocity and temperature are proved.
- Pages
- 738–752
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/109063
Journal of Siberian Federal University. Mathematics & Physics / Study of the Non-isothermal Coupled Problem with Mixed Boundary Conditions in a Thin Domain with Friction Law
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