%0 Journal Article %T Modeling turbulence with the Navier-Stokes equations %A Wong, Bertrand %J Journal of Nonlinear Sciences and Applications %D 2020 %V 13 %N 2 %@ ISSN 2008-1901 %F Wong2020 %X 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. %9 journal article %R 10.22436/jnsa.013.02.03 %U http://dx.doi.org/10.22436/jnsa.013.02.03 %P 97--99