  The field theoretic renormalization group is applied to the stochastic
Navier--Stokes equation that describes fully developed fluid turbulence. The
complete two-loop calculation of the renormalization constant, the beta
function and the fixed point is performed. The ultraviolet correction exponent,
the Kolmogorov constant and the inertial-range skewness factor are derived to
second order of the $\epsilon$ expansion.

Chaotic Dynamics