“…Thus, the values typical for the burner described in [11] are ξ 1 ≈ 0.83 and δ 10 3 , which allows us to conclude that the thermal explosion does not occur under real operating conditions of the porous burner shaped as a hollow cylinder, and the evolution of the disturbance inducing the temperature distribution in the burner with a maximum in the volume is always finalized by the transition to the profile with the maximum close to the outer surface, which is predicted by the model developed in [15]. It is obvious that δ * = δ min = δ * (θ 0 , ξ 1 , Le, Δπ, .…”