Note that the Clay NS problem is introduced with the following description of the essence of the problem and its importance to humanity:
- Waves follow our boat as we meander across the lake, and turbulent air currents follow our flight in a modern jet.
- Mathematicians and physicists believe that an explanation for and the prediction of both the breeze and the turbulence can be found through an understanding of solutions to the Navier-Stokes equations.
- Although these equations were written down in the 19th Century, our understanding of them remains minimal.
- The challenge is to make substantial progress toward a mathematical theory which will unlock the secrets hidden in the Navier-Stokes equations.