Aleksey Anatolievich Zakharenko
Keywords: Navier-Stokes equations, hydrodynamics, lagrangian formalism, compressible and incompressible fluids, turbulent flow
Abstract: 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 results 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.
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