References
- Sanchez-Palencia E. Non-homogeneous media and vibration theory. Vol. 127, Lecture Notes in Physics. Berlin: Springer-Verlag; 1980.
- Tartar L. Incompressible fluid flow in a porous medium. Convergence of the homogenization process. Appendix of Non-homogeneous media and vibration theory, Sanchez-Palencia E., Lecture Notes in Physics 127, Berlin, Springrer-Verlag; 1980.
- Barenblatt GI, Zheltov YP, Kochina IN. On basic conceptions of the theory of homogeneous fluids seepage in fractured rocks (in Russian). Prikl. Mat. Mekh. 1960;24:852–864.
- Ene HI, Poliševski D. Model of diffusion in partially fissured media. Z. Angew. Math. Phys. 2002;53:1052–1059.
- Barenblatt GI, Entov VM, Ryzhik VM. Theory of fluid flows through natural rocks. Dordrecht: Kluwer Academic; 1990.
- Beavers GS, Joseph DD. Boundary conditions at a naturally permeable wall. J. Fluid Mech. 1967;30:197–207.
- Jäger W, Mikelić A. Modeling effective interface laws for transport phenomena between an unconfined fluid and a porous medium using homogenization. Transp. Porous Med. 2009;78:489–508.
- Jones IP. Low Reynolds number flow past a porous spherical shell. Proc Camb. Phil. Soc. 1973;73:231–238.
- Lipton R, Avellaneda M. Darcy’s law for slow viscous flow past a stationary array of bubbles. Proc. Roy. Soc. Edinburgh Sect. A. 1990;114:71–79.
- Mikelić A. Effets inertiels pour un écoulement stationnaire visqueux incompressible dans un milieu poreux. C. R. Acad. Sci. Paris Sér. I Math. 1995;320:1289–1294.
- Saffman PG. On the boundary condition at the interface of a porous medium. Stud. Appl. Math. 1971;50:93–101.
- Cioranescu D. Saint Jean-Paulin J. Homogenization in open sets with holes. J. Math. Anal. Appl. 1979;71:590–607.
- Nguetseng G. A general convergence result for a functional related to the theory of homogenization. SIAM. J. Math. Anal. 1989;20:608–623.
- Allaire G. Homogenization of the Stokes flow in a connected porous medium. Asymptotic Anal. 1989;2:203–222.
- Allaire G. Homogenization and two-scale convergence. SIAM. J. Math. Anal. 1992;23:1482–151.
- Neuss-Radu M. Some extensions of two-scale convergence. CR. Acad. Sci. Paris. 1996;322:899–904.
- Gruais I, Polisevski D. Fluid flows through fractured porous media along Beavers--Joseph interfaces. J. Math. Pures Appl. 2014;102:482–497.
- Poliševski D. Basic homogenization results for a biconnected ϵ-periodic structure. Appl. Anal. 2003;82:301–309.
- Conca C. On the application of the homogenization theory to a class of problems arising in fluid mechanics. J. Math. Pures Appl. 1985;64:31–75.
- Girault V, Raviart PA. Finite element methods for Navier--Stokes equations. Berlin: Springer-Verlag; 1986.