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Asymptotic Behavior of Solutions to Free Boundary Problem with Tresca Boundary Conditions
Journal article   Open access  Peer reviewed

Asymptotic Behavior of Solutions to Free Boundary Problem with Tresca Boundary Conditions

Abdelkader Saadallah, Nadhir Chougui, Fares Yazid, Mohamed Abdalla, Bahri Belkacem Cherif and Ibrahim Mekawy
Journal of function spaces, Vol.2021, pp.1-9
2021
DOI: https://doi.org/10.1155/2021/9983950

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we study the asymptotic behavior of an incompressible Herschel-Bulkley fluid in a thin domain with Tresca boundary conditions. We study the limit when the e tends to zero, we prove the convergence of the unknowns which are the velocity and the pressure of the fluid, and we obtain the limit problem and the specific Reynolds equation.
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https://doi.org/10.1155/2021/9983950View
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