Comment on 'Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence'
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.
Keywords
Cite
@article{arxiv.2008.11715,
title = {Comment on 'Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence'},
author = {Michael Frewer and George Khujadze},
journal= {arXiv preprint arXiv:2008.11715},
year = {2021}
}
Comments
13 pages, 2 lists CAS-Code. Under review in Journal of Physics A: Mathematical and Theoretical. This article draws heavily from arXiv:1802.02490