50 citations · 174 across the 12 of their papers we have counts for
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Comment on 'Lie symmetry analysis of the Lundgren-Monin-Novikov equations for multi-point probability density functions of turbulent flow'
Michael Frewer, George Khujadze, Holger Foysi
The recent study by Waclawczyk et al. [J. Phys. A: Math. Theor. 50, 175501 (2017)] possesses three shortcomings: (i) The analysis misses a key aspect of the LMN equations which mak…
A note on the notion "statistical symmetry"
Michael Frewer, George Khujadze, Holger Foysi
A critical review is presented on the most recent attempt to generally explain the notion of "statistical symmetry". This particular explanation, however, is incomplete and misses…
A critical examination of the statistical symmetries admitted by the Lundgren-Monin-Novikov hierarchy of unconfined turbulence
Michael Frewer, George Khujadze, Holger Foysi
We present a critical examination of the recent article by Waclawczyk et al. (2014) which proposes two new statistical symmetries in the classical theory for turbulent hydrodynamic…
Is the log-law a first principle result from Lie-group invariance analysis?
Michael Frewer, George Khujadze, Holger Foysi
The invariance method of Lie-groups in the theory of turbulence carries the high expectation of being a first principle method for generating statistical scaling laws. The purpose…
On the physical inconsistency of a new statistical scaling symmetry in incompressible Navier-Stokes turbulence
Michael Frewer, George Khujadze, Holger Foysi
A detailed theoretical investigation is given which demonstrates that a recently proposed statistical scaling symmetry is physically void. Although this scaling is mathematically a…