A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary

DOI10.1016/j.crma.2010.07.023zbMath1201.35157OpenAlexW2025654487MaRDI QIDQ710840

Manuel Luna-Laynez, Francisco Javier Suárez-Grau, Juan Casado-Díaz

Publication date: 22 October 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.07.023

zbMATH Keywords

slip boundary conditionadherence conditionReynolds system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (6)

Effective boundary condition for a quasi‐Newtonian viscous fluid at a slightly rough boundary starting from a Navier condition ⋮ Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain ⋮ On the Navier boundary condition for viscous fluids in rough domains ⋮ Semi-group theory for the Stokes operator with Navier-type boundary conditions on \(L^{p}\)-spaces ⋮ APPROXIMATE TRANSMISSION CONDITIONS FOR A POISSON PROBLEM AT MID-DIFFUSION ⋮ A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions

Cites Work

• On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries
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• Periodic unfolding and homogenization
• Couette flows over a rough boundary and drag reduction
• Why viscous fluids adhere to rugose walls: A mathematical explanation.
• The Stokes equations with Fourier boundary conditions on a wall with asperities
• Roughness-Induced Effect at Main Order on the Reynolds Approximation
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• Homogenization of the Stokes system in a thin film flow with rapidly varying thickness
• Effect of rugosity on a flow governed by stationary Navier-Stokes equations
• Two-scale convergence for nonlinear Dirichlet problems in perforated domains
• ASYMPTOTIC BEHAVIOR OF A VISCOUS FLUID WITH SLIP BOUNDARY CONDITIONS ON A SLIGHTLY ROUGH WALL
• Asymptotic behaviour of pressure and stresses in a thin film flow with a rough boundary

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