Intermittency in Turbulence
F. Hayot, C. Jayaprakash
Abstract
We derive from the Navier-Stokes equation an exact equation satisfied by the dissipation rate correlation function. We exploit its mathematical similarity to the corresponding equation derived from the 1-dimensional stochastic Burgers equation to determine the intermittency exponents in terms of the exponents characterizing the behavior of the dynamical velocity structure functions. We discuss the role of sweeping and Galilean invariance in determining the intermittency exponents
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