Homogenization and Dimension Reduction of the Stokes Problem with Navier-Slip Condition in Thin Perforated Layers

DOI10.1137/22m1528860zbMath1529.35022arXiv2210.12052MaRDI QIDQ6066784

John Fabricius, Markus Gahn

Publication date: 13 December 2023

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.12052

zbMATH Keywords

porous mediumDarcy's lawthin domainslip boundary conditionrestriction operatorKorn inequality

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-homogeneous media and vibration theory
• The transition between the Navier-Stokes equations to the Darcy equation in a thin porous medium
• \(L^p\)-theory for Stokes and Navier-Stokes equations with Navier boundary condition
• On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
• Incompressible Flow
• Effective slip law for general viscous flows over an oscillating surface
• Homogenisation of the Stokes problem with a pure non-homogeneous slip boundary condition by the periodic unfolding method
• Effective Transmission Conditions for Reaction-Diffusion Processes in Domains Separated by an Interface
• Influence of wall roughness on the slip behaviour of viscous fluids
• Homogenization of the Navier-Stokes equations with a slip boundary condition
• An extension theorem from connected sets, and homogenization in general periodic domains
• Homogenization and Two-Scale Convergence
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman
• Darcy's law for slow viscous flow past a stationary array of bubbles
• Homogenization of the Stokes Problem With Non-homogeneous Slip Boundary Conditions
• Carreau law for non-newtonian fluid flow through a thin porous media
• Effective transmission conditions for reaction–diffusion processes in domains separated by thin channels
• Homogenization of the Stokes equation with mixed boundary condition in a porous medium
• Stokes flow with kinematic and dynamic boundary conditions