Fractal geometry of turbulence  The Hausdorff dimension, the dispersion and nature of the singularities of fluid motion
Abstract
Two conjectures are made about the dispersion of turbulence in a closed vessel. The first is that the turbulence of the fluid results from the interaction of a series of phenomena each of which is concentrated either on a set of Hausdorff dimension less than 3 in space, and less than 4 in spacetime, or on a truncated form of such a set. The second conjecture is that these phenomena are related to the presence of singularities modified by viscosity (quasisingularities) in the solutions of the Euler equations.
 Publication:

Academie des Sciences Paris Comptes Rendus Serie Sciences Mathematiques
 Pub Date:
 January 1976
 Bibcode:
 1976CRASM.282..119M
 Keywords:

 Singularity (Mathematics);
 Topology;
 Turbulent Diffusion;
 Turbulent Flow;
 Flow Theory;
 Fluid Mechanics;
 Metric Space;
 Viscosity;
 Fluid Mechanics and Heat Transfer