  Development of the Richtmyer-Meshkov instability leads to mixing of two
substances separated by contact boundary. Mixture of two fluids is confined
between two mixing fronts. Universal asymptotics follows the transition stage
at late time. Functions which describe the fronts penetration asymptoticaly
transform to power law dependences. Mixing is acompanied by cascade of
enlarging of dominant scale of a turbulent mixing zone. The exponents of the
power laws are: 2/5 for 2D and 1/3 for 3D cases. These exact exponents are
calculated in our work. They are determined by the mechanism of redistribution
of momentum from small into the large scales.
