Random double porosity model;Modèle de double porosité aléatoire

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 327, Issue 1, 1998, Pages 99-104

  Bourgeat, Alain ^a   Mikelić, Andro ^b   Piatnitski, Andrey ^c  

^a UNIVERSITÉ JEAN MONNET   (France)

^b UNIVERSITÉ LYON 1   (France)

^c LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17144470027     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(98)80110-9     Document Type: Article

References (7)

1. [1] Jikov V.V., Kozlov S.M., Oleinik O.A., Homogenization of Differential Operators and Integral Functionals, Springer-Verlag, New York, 1994.
2. [2] Allaire G., Homogenization and two-scale covergence, SIAM J. Math. Anal. 23 (1992) 1482-1518.
3. [3] Nguetseng G., A general convergence result for a functional related to the theory of homogenization, SIAM J. Math. Anal. 20 (1989) 608-628.
4. [4] Bourgeat A., Mikelić a., Wright S., On the stochastic two-scale convergence in the mean and applications, J. Reine Angew. Math. (Grelles Journal) 456 (1994) 19-51.
5. [5] Arbogast T., Douglas Jr., J., Hornung U., Derivation of the double porosity model of single phase flow via homogenization theory, SIAM J. Math. Anal. 21 (1990) 823-836.
6. [6] Bourgeat A., Luckhaus S., Mikelié A., Convergence for the homogenization process for a double porosity model of immiscible two-phase flow, SIAM J. Math. Anal. 27 (1996) 1520-1543.
7. [7] Fasano A., Mikelić A, Primicerio M., Homogenization of flows through porous media with permeable grains, Adv. Math. Sci. Appl. (1998) (à paraître).