Velocity and velocity-difference distributions in Burgers turbulence

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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4 pages, 3 figures, improved numerics, matches the published version

Scientific paper

10.1103/PhysRevLett.93.184503

We consider the one-dimensional Burgers equation randomly stirred at large
scales by a Gaussian short-time correlated force. Using the method of
dissipative anomalies, we obtain velocity and velocity-difference probability
density functions and confirm the results with high-resolution numerical
simulations.

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