Thermal acoustic vibrations can be sustained during combustion as a result of an external heat supply, a flow of internal energy, and a flow of kinetic energy [I, 2]. Such vibrations occur in the propagation of flames in gas mixtures and aerosols [4]. In [5], acoustic vibrations were seen in the combustion of an aerosol near the closed end of a firebox. These oscillations were attributed [2, 5] to the feedback mechanism that is the basis for formation of the mixture. Acoustic vibrations were obtained in [6] in the numerical solution of a unidimensional problem on the combustion of an aerosol of a specified composition near the closed end of a tube. In [7], investigators numerically studied a two-dimensional problem on the combustion of an aerosol in a closed volume~