As far as I can tell, this paper has nothing to do the generalized solution to the Navier-Stokes equations. It deals with flows near surfaces (boundary layers) and not flows in general. After skimming the paper I could only find one mention of the Navier-Stokes equations, and that was just for a channel flow identity derived from the Navier-Stokes equations under very particular boundary conditions (so not general at all).

This paper provides an interesting connection between the spectral properties of turbulence and the second-order moments of velocity in boundary layers (the "spectral link" as the title says). That is interesting to experts but it is a bit too abstract for the general public to understand easily, unfortunately.