Self-simulating problems of turbulent mixing of compressible-gas interfaces

Two self-simulating solutions, where the interface of gases with different properties is unstable with respect to small disturbances, are presented and analyzed. The first concerns the motion of two initially cold gases, for one of which an energy release increasing according to an exponential or power law is prescribed. The second concerns the motion of a piston driven by a pressure increasing in the same manner as the energy release in the first solution. Self-simulating solutions allowing for turbulent mixing of the interface boundary are obtained within the framework of a semiempirical theory.