A note on Burgers' turbulence

Abstract

In this note the Polyakov equation [Phys. Rev. E {\bf 52} (1995) 6183] for the velocity-difference PDF, with the exciting force correlation function $\kappa (y)\sim 1-y^{\alpha }$ is analyzed. Several solvable cases are considered, which are in a good agreement with available numerical results. Then it is shown how the method developed by A. Polyakov can be applied to turbulence with short-scale-correlated forces, a situation considered in models of self-organized criticality.

11 pages, Latex

References in corpus (4)

• Instantons in Burgers Equation
• Intermittency of Burgers' Turbulence
• Viscous Instanton for Burgers' Turbulence
• Kolmogorov turbulence in a random-force-driven Burgers equation: anomalous scaling and probability density functions

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