On the Steady State Distributions for Turbulence
  We propose explicit forms for the steady state distributions governing fully developed turbulence in two and three spatial dimensions. We base our proposals on the crucial importance of the area and volume preserving diffeomorphisms in the space of velocities. We argue that these distributions can lead to the relevant (Kolmogorov and Kraichnan) scaling laws. 
Djordje Minic, Michel Pleimling, and Anne E. Staples
physics.flu-dyn cond-mat.stat-mech hep-th