European Journal of Applied Mathematics



Convective instability of reaction fronts: Linear stability analysis


V. A. VOLPERT a1 and A. I. VOLPERT a2
a1 Laboratoire d'analyse numérique, Université Lyon I, UMR 5585 CNRS, 69622 Villeurbanne Cedex, France
a2 Department of Mathematics, Technion, 32000 Haifa, Israel

Abstract

The paper is devoted to convective instability of reaction fronts. New approaches are developed to study some eigenvalue problems arising in chemical hydrodynamics. For gaseous combustion in the case of equality of transport coefficients, a linear stability analysis of an upward propagating front is carried out. A minimax representation of the stability boundary is obtained.

(Received November 22 1997)
(Revised April 20 1998)