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Comptes Rendus Mathématique
Volume 336, n° 9
pages 735-738 (mai 2003)
Doi : 10.1016/S1631-073X(03)00154-7
Received : 6 Mars 2003 ;  accepted : 6 Mars 2003
Étude asymptotique d'un modèle simple de flammes prémélangées dans un domaine extérieur de  
Asymptotic study of one-step chemistry for premixed flames in outer domains of  

Grégory  Sagon
Université de Rouen, laboratoire de mathématiques Raphaël Salem, UMR 6085 CNRS, 76821 Mont Saint Aignan cedex, France 

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On considère une équation elliptique semilinéaire   dans un domaine extérieur de   avec des conditions aux limites de type Dirichlet. Cette Note porte sur les questions d'existence, d'unicité et le comportement asymptotique des solutions   lorsque   tend vers 0 et le terme de réaction se comporte comme une masse de Dirac. Les problèmes traités modélisent les flammes prémélangées dans la limite des hautes énergies d'activation. Pour citer cet article : G. Sagon, C. R. Acad. Sci. Paris, Ser. I 336 (2003).

Abstract

We consider a semilinear elliptic equation   in outer domains of   with Dirichlet's boundary conditions. This Note deals with the questions of existence, uniqueness and the asymptotic behavior of solutions   as   tends to 0 and the reaction term behaves as a Dirac distribution. Such problems arise in the modelling of premixed flames in the limit of high activations energies. To cite this article: G. Sagon, C. R. Acad. Sci. Paris, Ser. I 336 (2003).




© 2003  Académie des sciences@@#104156@@

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