The article I chose to cite is about … of course – Navier Stokes and the Clay Institute 6th Millenium Prize Problem. So, if we talk in pictures, than:
They didn’t see this coming.
The aftermath of a hurricane in North Carolina.
Photo copyright FEMA
Fluid mechanics with biscuits on the side.
Image DHD Photo Gallery
The red spot on the surface of Jupiter is a storm that has been raging for more than 300 years.
Composite image courtesy of NASA
The Thrust SuperSonic Car breaking the sound barrier in Blackrock Desert,
Nevada on 15th October 1997. Picture copyright Andy Graves
From the mathematical point of view, the questions is:
All of the above issues are very important to the way that we use the Navier-Stokes equations to help us to understand the physical world around us, but they pale into insignificance when compared to the subject of the sixth Millennium Prize Problem. This is not whether we can solve the Navier-Stokes equations (either exactly or using a computer), but whether they have any solutions at all.