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.
Bertrand Wong, Modeling turbulence with the Navier-Stokes equations, Journal of Nonlinear Sciences and Applications, 13 (2020), no. 2, 97--99
Wong Bertrand, Modeling turbulence with the Navier-Stokes equations. J. Nonlinear Sci. Appl. (2020); 13(2):97--99
Wong, Bertrand. "Modeling turbulence with the Navier-Stokes equations." Journal of Nonlinear Sciences and Applications, 13, no. 2 (2020): 97--99