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September 16, 2025Boletim da Sociedade Paranaense de MatemáticaOpen Access

Homogenization of a Stokes flow in porous media under a non-homogeneous slip boundary condition

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Authors

TATaha Khalil AbassiCKChafia KarekAOAmar Ould-Hammouda

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Overview

This research examines the asymptotic behavior of fluid velocity and pressure in porous media, suggesting new insights into flow dynamics.

Key Points

  • Fluid velocity and pressure patterns are better understood in porous media under specific boundary conditions, revealing crucial insights.
  • The study introduces both Robin-type and Dirichlet boundary conditions, effectively categorizing different hole interactions in the porous medium.
  • Utilizing the unfolding method, this analysis provides a rigorous framework to describe the limit problem as the hole sizes approach zero.
  • These findings extend the classical theory of Stokes flow, potentially improving various applications in fluid dynamics and material engineering.

Cite This Study

Abassi et al. (2025) studied this question.

synapsesocial.com/papers/68d453a431b076d99fa59828https://doi.org/10.5269/bspm.77375
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