Analysis for Flow of an Incompressible Brinkman-Type Fluid in Thin Medium with Friction. (22nd September 2021)

• Record Type: Journal Article
• Authors: Manaa, Soumia; Boulaaras, Salah; Benseridi, Hamid; Dilmi, Mourad; Alodhaibi, Sultan
• Other Names: Shah Nehad Ali Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-09-22
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/5112840
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we consider the Brinkman equation in the three-dimensional thin domain ℚ ε ⊂ ℝ 3 . The purpose of this paper is to evaluate the asymptotic convergence of a fluid flow in a stationary regime. Firstly, we expose the variational formulation of the posed problem. Then, we presented the problem in transpose form and prove different inequalities for the solution u ε, p ε independently of the parameter ε . Finally, these estimates allow us to have the limit problem and the Reynolds equation and establish the uniqueness of the solution.