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Comptes Rendus Mathématique
Volume 335, n° 4
pages 405-410 (2002)
Doi : S1631-073X(02)02487-1
Received : 21 May 2002 ;  accepted : 1 July 2002
Propagation de flammes gazeuses dans la limite d'une diffusion massique nulle
Propagation of gaseous flames in the limit of small mass diffusion coefficients
 

Frédérique Laurent , Marc Massot , Vitaly Volpert
MAPLY, Labo. de math. appliquées de Lyon, UMR 5585 CNRS, Université Lyon 1, 69622 Villeurbanne cedex, France 

Note présentée par Philippe G. Ciarlet

Résumé

Dans cette Note, on considère un modèle de type thermo-diffusif pour décrire la propagation d'une flamme 1D dans un milieu gazeux avec une chimie complexe de type graphe ouvert. On redémontre l'existence d'ondes progressives pour ce type de système en utilisant une nouvelle approche et l'on étudie l'effet du passage à la limite d'une diffusion massique nulle : on montre la continuité de la vitesse de l'onde ainsi que des profils de température et de fraction massique. Pour citer cet article : F. Laurent et al., C. R. Acad. Sci. Paris, Ser. I 335 (2002) 405-410.

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Abstract

In this Note, we study a thermo-diffusive model for the propagation of 1D gaseous flames for complex chemistry with open graph. We use a new approach in order to prove the existence of a traveling wave and we study the behavior of the solution in the limit of zero mass diffusion coefficients: we show the continuity of the wave velocity and of the temperature and mass fraction profiles. To cite this article: F. Laurent et al., C. R. Acad. Sci. Paris, Ser. I 335 (2002) 405-410.

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