Burgers turbulence with pressure

Details Burgers turbulence with pressure Burgers turbulence with pressure

1997-07-31

arxiv.org/abs/hep-th/9707255v1

Phys.Plasmas 5 (1998) 1681

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, revtex

Scientific paper

10.1063/1.872836

The randomly driven Burgers equation with pressure is considered as a 1D model of strong turbulence of compressible fluid. It is shown that infinitely small pressure provides a finite effect on the velocity and density statistics and this case therefore is qualitatively different from turbulence without pressure. We establish the corresponding operator product expansion and predict the intermittent velocity- difference and mass-difference PDFs. We then apply the developed methods to the statistics of a passive scalar advected by the Burgers field.

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