Stability of Pole Solutions for Planar Propagating Flames: I. Exact Eigenvalues and Eigenfunctions

Abstract

It is well known that the nonlinear PDE describing the dynamics of a hydrodynamically unstable planar flame front admits exact pole solutions as equilibrium states. Such a solution corresponds to a steadily propagating cusp-like structure commonly observed in experiments. In this work we investigate the linear stability of these equilibrium states—the… (More)
DOI: 10.1137/S0036139998346439

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