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Convective instability of reaction fronts: Linear stability analysis

Published online by Cambridge University Press:  01 October 1998

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

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 9 , Issue 5 , October 1998 , pp. 507 - 525
Copyright
1998 Cambridge University Press

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