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Spectral Behavior of Combustion Fronts with High Exothermicity

We study fronts in a reaction-diffusion model for high Lewis number combustion processes with the reaction rate in the form of an Arrhenius law. By a combination of spectral energy estimates and Evans function computation, we study the unstable spectrum of a class of combustion fronts with high exothermicity, where the previously known results do not apply and interesting spectral behavior is observed.