  We consider the steady state statistics of turbulence in general classes of
dissipative hydrodynamic equations, where the fluctuations are sustained by a
random source concentrated at large scales. It is well known that in some
particular cases, such as non-relativistic incompressible turbulence, a
Kolmogorov-type exact scaling relation for a correlation function holds. We
show that all such scaling relations follow from a general relation on the
current-density correlation function. The derivation does not require an energy
cascade picture and suggests that this traditional interpretation of the
Kolmogorov relation for incompressible turbulence may be misleading. Using this
we derive exact scaling results for compressible turbulence in relativistic
hydrodynamics, which reduce in the slow motion limit to the Kolmogorov
relation. We discuss the experimental implications of the results.
