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Homogenization of the Stokes-type model in porous media with slip boundary conditions

Lazarus Signing

Vol. 6 (2024), No. 4, 761–782
Abstract

We study the limiting behaviour of the Stokes-type fluid flows in porous media. The boundary conditions here are of the Fourier–Neumann-type on the boundary of the holes. Under the periodic hypothesis on the structure of the medium and on the coefficients of the viscosity tensor, one convergence result is proved. Our approach is the well-known two-scale convergence method.

Keywords
periodic homogenization, Stokes equations, porous media, two-scale convergence
Mathematical Subject Classification
Primary: 35B27, 35Q30, 76S05
Milestones
Received: 28 December 2023
Revised: 16 April 2024
Accepted: 10 May 2024
Published: 18 December 2024
Authors
Lazarus Signing
Department of Mathematics and Computer Science
University of Ngaoundere
Ngaoundere
Cameroon