Open AccessAsymptotic Behavior of Solutions to Free Boundary Problem with Tresca Boundary Conditions
Author(s) -
Abdelkader Saadallah,
Nadhir Chougui,
Fares Yazid,
Mohamed Abdalla,
Bahri Cherif,
Ibrahim Mekawy
Publication year - 2021
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2021/9983950
Subject(s) - boundary (topology) , free boundary problem , boundary value problem , mathematics , mathematical analysis
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 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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