Homogenization of a convection-diffusion model with reaction in a porous medium

Comptes Rendus Mathematique

Volumn 344, Issue 8, 2007, Pages 523-528

  Allaire, Grégoire ^a   Raphael, Anne Lise ^a  

^a CENTRE DE MATHÉMATIQUES APPLIQUÉES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34247347818     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2007.03.008     Document Type: Article

References (17)

1. Allaire G. Homogenization and two-scale convergence. SIAM J. Math. Anal. 23 6 (1992) 1482-1518
2. Allaire G., and Capdeboscq Y. Homogenization of a spectral problem in neutronic multigroup diffusion. Comput. Methods Appl. Mech. Engrg. 187 (2000) 91-117
3. G. Allaire, A. Raphael, Homogénéisation d'un modèle de convection-diffusion avec chimie/absorption en milieu poreux, rapport interne n. 604, CMAP, Ecole Polytechnique, 2006
4. Bourgeat A., Quintard M., and Whitaker S. Éléments de comparaison entre la méthode d'homogénéisation et la méthode de prise de moyenne avec fermeture. C. R. Acad. Sci. Paris Sér. II Méc. Phys. Chim. Sci. Univers Sci. Terre 306 7 (1988) 463-466
5. Brenner H., and Adler P. Dispersion resulting from flow through spatially periodic porous media. II. Surface and intraparticle transport. Philos. Trans. Roy. Soc. London Ser. A 307 1498 (1982) 149-200
6. Capdeboscq Y. Homogenization of a neutronic multigroup evolution model. Asymptotic Anal. 24 2 (2000) 143-165
7. Capdeboscq Y. Homogenization of a diffusion with drift. C. R. Acad. Sci. Paris, Sér. I 327 (1998) 807-812
8. Capdeboscq Y. Homogenization of a neutronic critical diffusion problem with drift. Proc. Roy. Soc. Edinburgh Sect. A 132 3 (2002) 567-594
9. F. Hecht, O. Pironneau, A. Le Hyaric, K. Ohtsuka, Freefem++, Version 2.0-0, http://www.freefem.org//ff++, Laboratoire Jacques Louis Lions, Université Pierre et Marie Curie, Paris
10. Jikov V.V., Kozlov S.M., and Oleinik O.A. Homogenization of Differential Operators and Integral Functionals (1994), Springer-Verlag
11. McLaughlin D., Papanicolaou G., and Pironneau O. Convection of microstructure and related problems. SIAM J. Appl. Math. 45 5 (1985) 780-797
12. Majda A., and Kramer P. Simplified models for turbulent diffusion: theory, numerical modelling, and physical phenomena. Phys. Rep. 314 4-5 (1999) 237-574
13. Marušić-Paloka E., and Piatnitski A. Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection. J. London Math. Soc. (2) 72 2 (2005) 391-409
14. Mauri R. Dispersion, convection, and reaction in porous media. Phys. Fluids A 3 5 (May 1991)
15. A. Mikelic, V. Devigne, C.J. van Duijn, Rigorous upscaling of the reactive flow through a pore, under dominant Peclet and Damkohler numbers, preprint
16. Nguetseng G. A general convergence result for a functional related to the theory of homogenization. SIAM J. Math. Anal. 20 3 (1989) 608-623
17. Whitaker S. The Method of Volume Averaging. Theory Applications of Transport in Porous Media vol. 13 (1999), Kluwer Academic Publishers