Sur quelques problèmes d’homogénéisation non locale et de fluides en milieu poreux : une contribution de Abdelhamid Ziani

Amirat, Youcef; Hamdache, Kamel

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.

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