no. 9
Partial Differential Equations
Reaction–diffusion equations in space–time periodic media
[Équations de réaction–diffusion en milieu périodique en temps et en espace]

Présenté par : Paul Malliavin

Nadin, Grégoire1
1 Département de mathématiques et applications, École normale supérieure, 45, rue d'Ulm, Paris 75005, France
Comptes Rendus. Mathématique, Tome 345 (2007) no. 9, pp. 489-493.

Cette Note traite des équations de réaction–diffusion en milieu périodique à la fois en temps et en espace. Nous établissons des conditions d'existence, d'unicité et de convergence en temps grand pour les solutions de telles équations. Ces conditions sont établies en fonctions de deux valeurs propres principales généralisées associées à une équation linéarisée. Nous établissons plusieurs propriétés de ces deux quantités.

This Note deals with reaction–diffusion in space–time periodic media. We state some conditions for the existence, uniqueness and large-time behavior of the solutions of such equations. These conditions are related to the two generalized principal eigenvalues associated with a linearized equation and we state some properties of these quantities.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2007.10.004
Nadin, Grégoire 1

1 Département de mathématiques et applications, École normale supérieure, 45, rue d'Ulm, Paris 75005, France 
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Nadin, Grégoire. Reaction–diffusion equations in space–time periodic media. Comptes Rendus. Mathématique, Tome 345 (2007) no. 9, pp. 489-493. doi : 10.1016/j.crma.2007.10.004. http://www.numdam.org/articles/10.1016/j.crma.2007.10.004/

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