On the multifractal structure of fully developed turbulence

Abstract

The appearance of vortex filaments, the power-law dependence of velocity and vorticity correlators and their multiscaling behavior are derived from the Navier-Stokes equation. This is possible due to interpretation of the Navier-Stokes equation as an equation with multiplicative noise, and remarkable properties of random matrix products.

More discussion, one more appendix, new references added; abstract changed; results unchanged. 12 pages, 3 figures

References in corpus (2)

• The multifractal nature of turbulent energy dissipation
• Twenty-five years of multifractals in fully developed turbulence: a tribute to Giovanni Paladin

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• Multifractal structure of Barkhausen noise: A signature of collective dynamics at hysteresis loop