Abstract:
This paper deals with the asymptotic behavior of a coupled system involving of an incompressible Bingham 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.
Received: 06.04.2018 Received in revised form: 06.07.2018 Accepted: 06.08.2018
Bibliographic databases:
Document Type:
Article
UDC:
531
Language: English
Citation:
Abdelkader Saadallah, Hamid Benseridi, Mourad Dilmi, “Study of the non-isothermal coupled problem with mixed boundary conditions in a thin domain with friction law”, J. Sib. Fed. Univ. Math. Phys., 11:6 (2018), 738–752
\Bibitem{SaaBenDil18}
\by Abdelkader~Saadallah, Hamid~Benseridi, Mourad~Dilmi
\paper Study of the non-isothermal coupled problem with mixed boundary conditions in a thin domain with friction law
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 6
\pages 738--752
\mathnet{http://mi.mathnet.ru/jsfu723}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-6-738-752}
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https://www.mathnet.ru/eng/jsfu723
https://www.mathnet.ru/eng/jsfu/v11/i6/p738
This publication is cited in the following 2 articles:
Abla Boulaouad, Youcef Djenaihi, Salah Boulaaras, Hamid Benseridi, Mourad Dilmi, “Study of a boundary value problem governed by the general elasticity system with a new boundary conditions in a thin domain”, Georgian Mathematical Journal, 2024
Hana Taklit Lahlah, Hamid Benseridi, Bahri Cherif, Mourad Dilmi, Salah Boulaaras, Rabab Alharbi, “On the strong convergence of the solution of a generalized non-Newtonian fluid with Coulomb law in a thin film”, MATH, 8:6 (2023), 12637
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