1.The Mathematical Formulation of Fully-Developed Turbulence.- 2.Probability and the Statistical Theory of Turbulence.- 3.The Invariant Measure and the Probability Density Function.- 4. Existence Theory of Swirling Flow.- The Bound for a Swirling Flow.- Detailed estimates of S2 and S3.- The Generalized Hyperbolic Distributions.- References.
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