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|Paper IPM / Physic / 7159||
We drive the exact Kramers-Moyal equation governing on the evolution of the probability density function(PDF) of longitudinal velocity increments for two and tree dimensional compressible turbulence in the limit when Mach number is infinite. We also derive the exact exponents for the structure functions and give analytic results on the deformation of PDF from large scales to small scales which gives rise to the intermittency.
PACS numbers, 47.27.Ak, 47.27.Gs, 47.27.Jv and 47.40.Ki.
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