To Predict Turbulence, Just Count the Puffs (2014)
nautil.us
nautil.us
https://www.quantamagazine.org/20140224-a-fluid-new-path-in-...
Right up there with "the Riemann hypothesis is quite difficult." (Of course, probably nothing beats the irony in naming of the Fundamental Lemma (https://en.wikipedia.org/wiki/Fundamental_lemma_%28Langlands...).)
Another quote, attributed both to Heisenberg and to Horace Lamb: "When I meet God, I am going to ask him two questions: Why relativity? And why turbulence? I really believe he will have an answer for the first."
And the very related problem of the existence and smoothness of solutions to the Navier-Stokes equations is one of the famous millennium problems.
http://www.cascadetechnologies.com/pioneering-large-eddy-sim...
Details (European Research Council): http://erc.europa.eu/succes-stories/understanding-turbulence...
[0] https://www.youtube.com/watch?v=7vjMc_HlNic @ 1:22-1:24