On the Roughness-Induced Effective Boundary Conditions for an Incompressible Viscous Flow

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Inviscid limits for the Navier–Stokes equations with Navier friction boundary conditions (2006, background): “The Navier friction condition was rigorously justified as a homogenization of the no-slip condition on a rough boundary, see [6].”
Vanishing Viscous Limits for 3D Navier–Stokes Equations with a Navier-Slip Boundary Condition (2012, background): “This boundary condition was rigorously justified as the effective boundary conditions for flows over rough boundaries, see [15].”
Navier-Stokes equations in thin 3D domains with Navier boundary conditions (2007, methodology): “Also a version of the Navier conditions with a friction coefficient arises in [16, 17], and is related to the homogenization of the Navier-Stokes equations over a rough boundary.”
Viscous boundary layers for the Navier–Stokes equations with the Navier slip conditions (2011, methodology): “For some mathematical justifications we refer to a pair of recent papers by Jager and Mikelic [20], [19], the references within, especially the paper [3] by Barrenechea, Le Tallec and Valentin, the paper [1] by Achdou, Pironneau and Valentin, the papers [31] and [5] about large eddy simulations in t”