International Journal of Mathematics and Mathematical Sciences 
Volume 2004 (2004), Issue 2, Pages 77-90
doi:10.1155/S0161171204206172

Stability of reaction fronts in thin domains

A. Agouzal,1 S. Boujena,2 I. Ciuperca,1 and V. Volpert1

 1Laboratoire de Mathématiques Appliquées, UMR 5585 CNRS, Université de Lyon 1, Villeurbanne 69622, France
2Département de Mathématiques et Informatique, Université Hassan II, B.P 5366, Maarif, Casablanca, Morocco
Received 28 June 2002

Abstract

The paper is devoted to the stability of reaction fronts in thin domains. The influence of natural convection and of heat losses through the walls of the reactor is studied numerically and analytically. Critical conditions of stability of stationary solutions are obtained.