References
- Achdou Y, Pironneau O, Valentin F. Shape control versus boundary control. In: Equations aux dérivées partielles et applications. Articles dédiés à Lions JL. Paris: Elsevier; 1998. p. 1–18.
- Achdou Y, Pironneau O, Valentin F. Effective boundary conditions for laminar flows over periodic rough boundaries. J. Comput. Phys. 1998;147:187–218.
- Mohammadi B, Pironneau O, Valentin F. Rough boundaries and wall laws. Int. J. Numer. Meth. Fluids. 1998;27:169–177.
- Amirat Y, Simon J. Influence de la rugosité en hydrodynamique laminaire. C. R. Acad. Sci. Paris, Série I. 1996;323:313–318.
- Amirat Y, Simon J. Riblet and drag minimization. In: Cox S, Lasiecka I, editor. Optimization methods in PDEs. Vol. 209, Contemporary mathematics. Providence (RI): American Mathematical Society; 1997. p. 9–18.
- Jäger W, Mikelić A. On the roughness-induced effective boundary conditions for an incompressible viscous flow. J. Differ. Equ. 2001;170:96–122.
- Jäger W, Mikelić A. Couette flows over a rough boundary and drag reduction. Comm. Math. Phys. 2003;232:429–455.
- Gérard-Varet D. The Navier wall law at a boundary with random roughness. Comm. Math. Phys. 2009;286:81–110.
- Gérard-Varet D, Masmoudi N. Relevance of the slip condition for fluid flows near an irregular boundary. Comm. Math. Phys. 2010;295:99–137.
- Madureira AL, Valentin F. Asymptotics of the Poisson problem in domains with curved rough boundaries. SIAM J. Math. Anal. 2007;38:1450–1473.
- Neuss N, Neuss-Radu M, Mikelić A. Effective laws for the Poisson equation on domains with curved oscillating boundaries. Appl. Anal. 2006;85:479–502.
- Amirat Y, Bodart O, De Maio U, Gaudiello A. Effective boundary condition for Stokes flow over a very rough surface. J. Differ. Equ. 2013;254:3395–3430.
- Bresch D, Milisic V. High order multi-scale wall-laws, Part I: the periodic case. Quart. Appl. Math. 2010;68:229–253.
- Bresch D, Milisic V. Towards implicit multi-scale wall laws. C. R. Math. Acad. Sci. Paris. 2008;346:833–838.
- Jäger W, Mikelić A. On the boundary conditions at the contact interface between a porous medium and a free fluid. Ann. Sc. Norm. Sup. Pisa Cl. Sci. Fis. Mat. 1996;23:403–465.
- Galdi GP. An Introduction to the mathematical theory of the Navier–Stokes equations. New York, NY: Springer-Verlag; 2011.