Thermal explosion in an inert porous medium

We have investigated thermal explosion (autoignition) of a reaction mixture situated in an inert porous medium. We consider a two-temperature model in the adiabatic formulation. We isolate the following regimes for the process: explosive, explosive with delay, slow regime with a discontinuity between the temperature of the reaction mixture and the temperature of the inert medium, slow and fast regimes without such a discontinuity. We determine the limits of the regions of existence of these regimes.