## The Navier-Stokes Equations And Turbulence

**Authors:** Bertrand Wong

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 behaviour 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.

**Comments:** 2 Pages.

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### Submission history

[v1] 2012-06-24 14:14:23

[v2] 2014-06-09 10:32:56

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