Note on "A. Gorguis, A reliable approach to the solution of Navier-Stokes equations, Appl. Math. Lett. 25 (2012) 2015-2017"
Abstract
Gorguis' claim of being able to transform Navier-Stokes equations into linear ones through the Cole-Hopf transformation is disputed. It is shown that the cases treated by Gorguis are intrinsically linear; involving a velocity potential (psi) that is governed by Laplace's equation. They require the external force to be conservative and the initial and boundary conditions to admit such cases of fluid flow. The pressure cannot be known a priori, as suggested by Gorguis, but is determined so that it can be consistent with (psi). Other errors in the cited article are also indicated.
Keywords
Cite
@article{arxiv.1209.4622,
title = {Note on "A. Gorguis, A reliable approach to the solution of Navier-Stokes equations, Appl. Math. Lett. 25 (2012) 2015-2017"},
author = {Tarek M. A. El-Mistikawy},
journal= {arXiv preprint arXiv:1209.4622},
year = {2012}
}
Comments
An earlier version of this note was submitted for publication in Applied Mathematics Letters, together with the alternative suggestion that the article by Gorguis be retracted. However, the note was denied publication, and the suggestion was rejected