Asymptotic Behavior of Solutions to Free Boundary Problem with Tresca Boundary Conditions. (24th April 2021)

• Record Type: Journal Article
• Authors: Saadallah, Abdelkader; Chougui, Nadhir; Yazid, Fares; Abdalla, Mohamed; Cherif, Bahri Belkacem; Mekawy, Ibrahim
• Other Names: Guran Liliana Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-04-24
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/9983950
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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 ε 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.