Conclusions

6D Navier-Stokes' equation [Eq.(22)] governing turbulence is specialized to the locally homogeneous dissipation/inertial ranges in the eddy space. This equation [Eq.(34)] has revealed existence of a (pseudo-)singular solution of shape like a volcano with a ridgeline separating the inertial subrange from the dissipation range inside which is a energy black hole of turbulence. This finding of anomalous hike of the velocity wave function ((31) or (53)) in the eddy space has enabled us to rediscover the universal form of the power spectrum from the equation of fluid dynamics as distinct from the dimensional analysis of the classical theory. In fact, an analytical solution of one-parameter family defining the ridgeline contour includes a case that is close to the consensus wave number dependence of -5/3 power law by Kolmogorov. It is yet left to be answered to eliminate the parameter dependence. It will be achieved by replacing the inviscid solution valid only for inertial subrange with a prospective viscous solution that is uniformly valid throughout dissipation and inertial regions.