Intermittency of Burgers' turbulence

We consider the tails of probability density function (PDF) for the velocity that satisfies Burgers equation driven by a Gaussian large-scale force. The saddle-point approximation is employed in the path integral so that the calculation of the PDF tails boils down to finding the special field-force configuration (instanton) that realizes the extremum of probability. For the PDFs of velocity and its derivatives u((k)) = partial derivative(x)(k)u, the general formula is found: In P(\u((k))\) proportional to -(\u((k))\/Re-k)(3/(k+1)).