Abstract

On presente l'analyse numerique du modele thermodiffusif employe en theorie de la combustion pour decrire la propagation d'une flamme plissee dans un tube rectangulaire infini. La methode numerique utilise un maillage mobile adaptatif, ce qui conduit a resoudre un systeme d'equations integrodifferentielles non lineaires de type reaction-diffusion. On etablit l'existence et l'unicite d'une solution de ce probleme et on prouve la convergence de l'approximation numerique

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