Abstract
Glangetas, L., Etude d'une limite singuliere d'un modele intervenant en combustion, Asymptotic Analysis 5 (1992) 317-342. We consider solutions (us, u,,' c.) of a system of two nonlinear differential equations -u~ + cu: = f,,(u.)u E , -Au; + cu~ = -f(u.)u,, on IR with the boundary conditions u,,(-oo)=O, u,,(+oo) = 1, U,,(-oo) = 1, u,,(+oo)=O. We investigate the asymptotic behavior of (u,,' u,,' c.) as [5 ..... 0 and f,,(u)(1 - u) behaves as a Dirac distribution. This singular limit corresponds to some combustion models (planar flame propagations) for high activation energy asymptotics.
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