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.
