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Homogenization of the
Stokes-type model in porous media with slip boundary
conditions
Lazarus Signing |
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Vol. 6 (2024), No. 4, 761–782
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Abstract |
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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. |
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Keywords
periodic homogenization, Stokes equations, porous media,
two-scale convergence
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Mathematical Subject Classification
Primary: 35B27, 35Q30, 76S05
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Milestones
Received: 28 December 2023
Revised: 16 April 2024
Accepted: 10 May 2024
Published: 18 December 2024
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Authors |
| Lazarus Signing | |
| Department of Mathematics and
Computer Science University of Ngaoundere Ngaoundere Cameroon |
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| © 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
