Annales Mathématiques
Blaise Pascal
no. 2
Sur quelques problèmes d’homogénéisation non locale et de fluides en milieu poreux : une contribution de Abdelhamid Ziani
Youcef Amirat1 ; Kamel Hamdache2
1 Laboratoire de Mathématiques UMR 6620 CNRS Université Blaise Pascal 63177 Aubière cedex France
2 Centre de Mathématiques Appliquées CNRS UMR 7641 Ecole Polytechnique 91128 Palaiseau cedex France
Annales mathématiques Blaise Pascal, Tome 14 (2007) no. 2, pp. 149-186.

Dans cet article nous présentons quelques problèmes et résultats d’homogénéisation non locale pour certaines équations de type dégénéré. Nous considérons des équations de transport, une équation des ondes dégénérée et une équation différentielle de Riccati, et nous décrivons dans chacun des cas les effets non locaux induits par homogénéisation. Nous donnons aussi quelques résultats sur l’analyse mathématique des équations des fluides miscibles en milieu poreux.

DOI : 10.5802/ambp.231
Youcef Amirat 1 ; Kamel Hamdache 2

1 Laboratoire de Mathématiques UMR 6620 CNRS Université Blaise Pascal 63177 Aubière cedex France
2 Centre de Mathématiques Appliquées CNRS UMR 7641 Ecole Polytechnique 91128 Palaiseau cedex France 
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Youcef Amirat; Kamel Hamdache. Sur quelques problèmes d’homogénéisation non locale et de fluides en milieu poreux : une contribution de Abdelhamid Ziani. Annales mathématiques Blaise Pascal, Tome 14 (2007) no. 2, pp. 149-186. doi : 10.5802/ambp.231. https://ambp.centre-mersenne.org/articles/10.5802/ambp.231/

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