Homogénéisation d'un modèle d'écoulements miscibles en milieu poreux

Article type: Research Article

Authors: Amirat, Youcef | Hamdache, Kamel | Ziani, Abdelhamid

Affiliations: INRIA, Domaine de Voluceau, Rocquencourt, B.P. 105, 78153 Le Chesnay Cedex, France | ENSTA/GHN, Centre de l'Yvette, Chemin de la Hunière, 91120 Palaiseau Cedex, France | Institut de Mathématiques, USTHB, B.P. 31, El Alia, Alger, Algérie

Abstract: We consider a 1-D model for incompressible miscible displacements in porous media without any dispersion term. Existence and uniqueness results for nonsmooth data are proved. We study the homogenization of the model. The limit problem is of the same type. The result is obtained thanks to compactness properties of the corresponding characteristic curves.

DOI: 10.3233/ASY-1990-3105

Journal: Asymptotic Analysis, vol. 3, no. 1, pp. 77-89, 1990