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Flame front propagation V: Stability Analysis of Flame Fronts: Dynamical Systems Approach in the Complex Plane

Oleg Kupervasser·Zeev Olami·Itamar Procaccia
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Abstract

We consider flame front propagation in channel geometries. The steady state solution in this problem is space dependent, and therefore the linear stability analysis is described by a partial integro-differential equation with a space dependent coefficient. Accordingly it involves complicated eigenfunctions. We show that the analysis can be performed to required detail using a finite order dynamical system in terms of the dynamics of singularities in the complex plane, yielding detailed understanding of the physics of the eigenfunctions and eigenvalues.

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Oleg Kupervasser, Zeev Olami, Itamar Procaccia. 2011-08-17. Flame front propagation V: Stability Analysis of Flame Fronts: Dynamical Systems Approach in the Complex Plane. https://doi.org/10.1103/physreve.59.2587

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