On the multifractal structure of fully developed turbulence
K.P. Zybin, V.A Sirota
TL;DR
This paper explores the multifractal nature of fully developed turbulence by deriving key statistical properties from the Navier-Stokes equations, using a novel interpretation involving multiplicative noise and random matrix theory.
Contribution
It introduces a new approach to turbulence analysis by interpreting Navier-Stokes as a multiplicative noise system, revealing the origin of multiscaling and vortex filament structures.
Findings
Derivation of vortex filament appearance from Navier-Stokes
Power-law behavior of velocity and vorticity correlators
Multiscaling properties explained through random matrix products
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.
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