Comment on 'Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence'
arXiv:2008.11715 · doi:10.1088/1751-8121/abe49e
Abstract
The current claim by Grebenev et al. [J. Phys. A: Math. Theor. 52, 335501 (2019)], namely that the inviscid and unclosed 2D Lundgren-Monin-Novikov (LMN) equations on a zero-vorticity Lagrangian path admit conformal invariance, is based on a flawed and misleading analysis published earlier by Grebenev et al. (2017). All false results and conclusions made before in the Eulerian picture were now extended by Grebenev et al. (2019) to the Lagrangian picture. Although we have already commented on these errors and consistently refuted their previous study (Frewer & Khujadze, 2018), we deem it necessary to address and discuss these errors again in the new formulation and notation of Grebenev et al. (2019) as it will offer new insights into this issue.
13 pages, 2 lists CAS-Code. Under review in Journal of Physics A: Mathematical and Theoretical. This article draws heavily from arXiv:1802.02490
References in corpus (4)
- Group classification of linear evolution equations
- A note on the notion "statistical symmetry"
- Conformal invariance and the Lundgren-Monin-Novikov equations for vorticity fields in 2D turbulence: Refuting a recent claim
- Comment on 'Lie symmetry analysis of the Lundgren-Monin-Novikov equations for multi-point probability density functions of turbulent flow'