A review on the book by Khmelnik: Navier-Stokes equations on the existence and the search method for global solutions

Aleksey Anatolievich Zakharenko
2021 Zenodo  
In 2010, Khmelnik has developed his theoretical method applicable for resolving problems existing in mechanics, electrodynamics, electrical engineering, hydrodynamics. For hydrodynamics, this method allowed for Khmelnik to resolve the Navier-Stokes equations. However, this work by Khmelnik is not widely known. As a result, there are still both analytical and numerical attempts to find a suitable method of resolving of the Navier-Stokes equations. The work by Khmelnik provides the obtained
more » ... s in both analytical forms and color graphical three-dimensional illustrations. Therefore, this review has the purpose to briefly acquaint the reader with the resolving method that was successfully applied to the Navier-Stokes equations and the other problems in physics.
doi:10.5281/zenodo.5670405 fatcat:iqmqesxxbzbc5kl6fghdcadkpm