Modeling turbulence with the Navier-Stokes equations

Volume 13, Issue 2, pp 97--99
Publication Date: September 26, 2019 Submission Date: June 26, 2019 Revision Date: August 06, 2019 Accteptance Date: August 31, 2019


Bertrand Wong - Department of Science and Technology, Eurotech, Singapore Branch.


The Navier-Stokes differential equations describe the motion of fluids which are incompressible. The three-dimensional Navier-Stokes equations misbehave very badly although they are relatively simple-looking. The solutions could wind up being extremely unstable even with nice, smooth, reasonably harmless initial conditions. A mathematical understanding of the outrageous behavior of these equations would dramatically alter the field of fluid mechanics. This paper describes why the three-dimensional Navier-Stokes equations are not solvable, i.e., the equations cannot be used to model turbulence, which is a three-dimensional phenomenon.