References
- Arbogast , T , Douglas , J and Hornung , U . 1990 . Derivation of the double porosity model of single phase flow via homogenization theory . SIAM. J. Appl. Math. , 21 : 823 – 826 .
- Amaziane , B , Bourgeat , B , Goncharenko , M and Pankratov , L . 2004 . Characterization of the flow for a single fluid in excavation zone . C. R. Méc. , 332 : 79 – 84 .
- Amaziane , B , Goncharenko , M and Pankratov , L . 2005 . Homogenization of a degenerate triple porosity model with thin fissures . Eur. J. Appl. Math. , 16 : 335 – 359 .
- Bellieud , M . Homogénéisation de problèmes elliptiques avec effets non locaux, Thèse de doctorat, Université de Toulon, 1997
- Nguetseng , N . 1989 . A general convergence result for a functional related to the theory of homogenization . SIAM J. Math. Anal. , 20 : 608 – 623 .
- Panfilov , M . 2000 . Macroscale models of flow through highly heterogeneous porous media , Dordrecht, Boston, London : Kluwer Academic .
- Pankratov , L and Rybalko , V . 2003 . Asymptotic analysis of a double porosity model with thin fissures . Mat. Sb. , 194 : 121 – 146 .
- Pankratov , L , Piatnitskii , A and Rybalko , V . 2003 . Homogenized model of reaction–diffusion in a porous medium . C. R. Mec. , 331 ( 4 ) : 253 – 258 .
- Sili , A . 2004 . Homogenization of a nonlinear monotone problem in an anisotropic medium . Math. Model Methods Appl. Sci. , 14 ( 3 ) : 329 – 353 .
- Allaire , G . 1992 . Homogenization and two-scale convergence . SIAM J. Math. Anal. , 23 : 1482 – 1518 .