Reply to Lie symmetry analysis of the Hopf functional-differential equation

This paper by Waclawczyk, Janocha & Oberlack (Symmetry, 2016) is seriously misleading and flawed, including mathematical errors and inconsistent conclusions.

Details and corrections to http://dx.doi.org/10.3390/sym8040024 are given in

https://www.researchgate.net/publication/301553065

Popular posts from this blog

Group analysis, direct numerical simulation and modelling of a turbulent channel flow with streamwise rotation

Published in JFM, 2006 by Oberlack, Cabot, Pettersson-Reif & Weller. This publication is misleading and flawed. Apart from various mathematical errors, this study is altogether inconsistent in its Lie-group symmetry part. In addition it also contains several non-reproducible conclusions. All details and corrections to this flawed study are given in https://arxiv.org/abs/1609.08155 .
Read more

Springer Proceedings in Physics (2019)

Methodologically Flawed & Seriously Misleading The following publication by Klingenberg, Oberlack & Pluemacher (2019) is methodologically flawed and seriously misleading: Symmetry-Based Turbulence Modeling https://doi.org/10.1007/978-3-030-22196-6_5 Details are given in the review  https://publons.com/publon/27659704/#review-5598480
Read more

Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence

Published in Journal of Physics A, 2019  by Grebenev, Waclawczyk & Oberlack. This publication is seriously misleading and flawed. The conformal invariance for the Lundgren-Monin-Novikov vorticity equations cannot be confirmed, neither in the Eulerian nor in the Lagrangian framework. All details and corrections are given in  https://arxiv.org/abs/2008.11715 , and more comprehensively in  https://doi.org/10.5281/zenodo.6228153 .
Read more