The turbulent solution is complex, where the real part is the average value, and the imaginary part is the rms value. Solving the non-linear Navier-Stokes equation is necessary in the complex plane. Similarly, the decision of GR should be complex in the case of a turbulent regime. But there is a problem how to recalculate the imaginary part of the solution in the real part, for this you need to use special methods. Moreover, in the case of a liquid medium, the roughness must be taken into account.
