Self-consistent theory of turbulence

A self-consistent version of the stochastic theory of turbulence is proposed. The random side force in the Navier-Stokes equation is considered as a dynamic variable controlled by a nonlinear equation of the Ginzburg-Landau type with white noise (equations on this type are used in descriptions of threshold processes). Feedback is provided by the dependence of the symmetry-breaking term in the Ginzburg-Landau equation on the Reynolds number, which is defined as a functional of the velocity field.