Influence of compressibility on scaling regimes of strongly anisotropic fully developed turbulence

A statistical model of strongly anisotropic fully developed turbulence of t he weakly compressible fluid is considered by means of the field theoretic renormalization group. The corrections due to compressibility to the infrar ed form of the kinetic energy spectrum have been calculated in the leading order in the Mach number expansion. Furthermore, in this approximation the validity of the Kolmogorov hypothesis on the independence bf the dissipatio n length of velocity correlation functions in the inertial range has been p roved. [S1063-651X(99)11509-5].