Frontier Project - Multiscale Interactions in Stratified Turbulence
Mixing and Reacting Flows
Sir Horace Lamb
I am an old man now, and when I die and go to Heaven there are two matters on which I hope for enlightenment. One is quantum electrodynamics and the other is the turbulent motion of fluids. And about the former I am rather more optimistic.
Those who knew the British applied mathematician Keith Stewartson (1925-1983) will recall that his strongest term of scientific condemnation was "unrigorous". I'm sure he regarded the whole phenomenon of turbulence as being unrigorous and probably invented by the Devil on the seventh day of Creation (when the Good Lord wasn't looking); I am inclined to agree.
Turbulence is the most important unsolved problem of classical physics.
Clay Mathematics Institute Millennium Problems
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.