Laminar flame in the approximation of weak compressibility of reacting flows

The complete system of hydrodynamic equations describing the development of instability of the reaction front in the hydrodynamic approximation is reduced to a closed system of surface equations with the use of Lagrange variables, integrals of motion, and their analogs. In the adiabatic approximation, it is shown how to take into account the acoustic vibrations of the gas density caused by this motion.