publications

Article

Front instability in a condensed phase combustion model

Alexis Bonnet, Dkhil Fathi, Elisabeth Logak, 2015

Advances in Nonlinear Analysis, 4, 3, 153-176 , Juillet 2015

Résumé

We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem. We estimate this functional in the high activation energy limit. We deduce the existence of zeros with nonnegative

real part for high activation energy, which proves the linear instability of the travelling front solution.