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Hidden scale invariance in Navier–Stokes intermittency | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

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By Alexei A. Mailybaev, Simon Thalabard, Mailybaev Alexei A, Thalabard Simon
| royalsocietypublishing.org
1. Introduction The notion of statistical symmetries shapes the modern description of fully developed turbulent states, along with the physical postulate that most of the symmetries of the Navier–Stokes (NS) equations, describing the dynamics of an incompressible velocity field u(x,t) in three-dimensional space and broken by the presence of driving and dissipative mechanisms, are restored in a statistical sense in a suitable limit of small scales ℓ and large Reynolds numbers [1].
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