The Stokes equations with Fourier boundary conditions on a wall with asperities

DOI10.1002/mma.206zbMath1007.35058OpenAlexW2025566188MaRDI QIDQ2725350

Simon, Jacques, Youcef Amirat, Enrique Fernández-Cara, Blanca Climent-Ezquerra

Publication date: 20 March 2003

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/xmlui/handle/11441/29562

zbMATH Keywords

Stokes systemstress tensorplatefriction coefficientFourier boundary conditionshomogenized friction coefficienthomogenized Stokes problemlimit dragwall rugosity

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (16)

Why viscous fluids adhere to rugose walls: A mathematical explanation. ⋮ Internal flows of incompressible fluids subject to stick-slip boundary conditions ⋮ Effective boundary condition for a quasi‐Newtonian viscous fluid at a slightly rough boundary starting from a Navier condition ⋮ ASYMPTOTIC BEHAVIOR OF A VISCOUS FLUID WITH SLIP BOUNDARY CONDITIONS ON A SLIGHTLY ROUGH WALL ⋮ The effect of roughness on the boundary condition on porous wall ⋮ On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries ⋮ Homogenization of an evolution problem with \( L\log L\) data in a domain with oscillating boundary ⋮ Homogenization of the brush problem with a source term in \(L^{1}\) ⋮ A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary ⋮ A multiscale finite element method for partial differential equations posed in domains with rough boundaries ⋮ Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions ⋮ The uniform rugosity effect ⋮ Estimates for the asymptotic expansion of a viscous fluid satisfying Navier's law on a rugous boundary ⋮ The incompressible limit of the full Navier-Stokes-Fourier system on domains with rough boundaries ⋮ Asymptotic approximation of the solution of Stokes equations in a domain with highly oscillating boundary ⋮ Homogenization of Highly Oscillating Boundaries with Strongly Contrasting Diffusivity

Cites Work

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• \(L^ r\) regularity for the Stokes and Navier-Stokes problems
• On the application of the homogenization theory to a class of problems arising in fluid mechanics
• Numerical results on the homogenization of Stokes and Navier-stokes equations modeling a class of problems from fluid mechanics
• Non-homogeneous media and vibration theory
• The boundary-value problem in domains with very rapidly oscillating boundary
• Finite Element Methods for Navier-Stokes Equations
• Homogenization of the Navier-Stokes equations with a slip boundary condition
• Effect of rugosity on a flow governed by stationary Navier-Stokes equations
• Homogenization of the Stokes Problem With Non-homogeneous Slip Boundary Conditions

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