Determination of the propagation velocity of a polymerization wave

We consider the propagation of a plane polymerization wave in an infinite mass assuming that the temperature dependence of the reaction rate is a function of the type of $\operatorname{ехр}\Theta-1$ Existence conditions for a steady regime are determined. It was found that, for a continuous heat-release function, the minimum possible velocity of the wave is given by two different analytic dependences that transform into one another continuously for some critical value of the dimensionless adiabatic temperature. An approximate analytic expression for the temperature profile of the wave is obtained.