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Stabilization of combustion wave through the competitive endothermic reaction

In this paper, we numerically investigate the stability of propagating combustion waves in the competitive exothermic–endothermic reaction model. The analysis is based on the Evans function method and direct numerical integration of the governing partial differential equations. The critical conditions for the onset of instability are found for a broad range of parameter values of the model. It is demonstrated that for the parameter values for which the combustion wave is unstable in the one-step reaction model, the inclusion of the endothermic step can lead to flame stabilization.