From Burgers to Navier-Stokes turbulence
Abstract
It is shown that the origin of the Kolmogorov's law of the fully developed turbulence is the result of the joint stochastic dynamics of pair points separated by the shock. The result obtained in 1-d case generalized on 3-d turbulence. A novel procedure of determination of correlation functions in 3-d turbulence is proposed.
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