International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 1-4, Pages 77-90
doi:10.1155/S0161171204206172
Stability of reaction fronts in thin domains
A. Agouzal1
, S. Boujena2
, I. Ciuperca1
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
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.