Existence of pressure driven wave

The phenomenon of pressure driven flames in inert porous media filled with a flammable gaseous mixture is considered in the present work. We focus on the travelling wave solutions arising in the adiabatic model of this phenomenon that was developed and studied in [2, 3, 5, 6]. We start with the simplest possible model which describes the combustion process in inert porous media in the absence of inertial effects, hydraulic resistance, and thermo...