Abstract
In this note we consider a family of statistical solutions of the Navier-Stokes equations (i.e. time dependent solutions of the Hopf equation) which seem to constitute the rigorous mathematical framework for the theory of homogeneous turbulence [1], [13]. The main feature of these solutions is that they are the transforms under suitable scalings of thestationary statistical solutions of a new system of equations (the Eq. (2) below).
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