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 using a finite-order dynamical system in terms of the dynamics of singularities in the complex plane, yielding a detailed understanding of the physics of the eigenfunctions and eigenvalues.
| Original language | English |
|---|---|
| Pages (from-to) | 2587-2593 |
| Number of pages | 7 |
| Journal | Physical Review E |
| Volume | 59 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1999 |
| Externally published | Yes |