Dynamics of three-dimensional turbulence from Navier-Stokes equations

  title={Dynamics of three-dimensional turbulence from Navier-Stokes equations},
  author={Katepalli R. Sreenivasan and Victor Yakhot},
  journal={Physical Review Fluids},
〈(δru)〉, which acts as the coupling constant for scale-toscale interactions. This description can be generalized by introducing “structure functions” of order n, Sn = 〈(δru) 〉, which allow one to probe velocity increments including rare and extreme events, by considering δru(n) = O(S 1/n n ) for large and small n. If Sn ∝ r ζn , the theory for the exponents ζn in the entire allowable interval −1 < n < ∞ is one of the long-standing challenges in turbulence (one takes absolute values of δru for… 
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