ok, I'll have a whack at the last sentence Fleiger - even tho it has been many long decades since I messed with this stuff (and then only to use it, not to do original research in the field)
Quote:
Originally Posted by RWebb
... In contrast to the classical Landau-Ruelle-Takens view that turbulence arises from an increase in the temporal complexity of fluid motion, here, spatial proliferation of chaotic domains is the decisive process and intrinsic to the nature of fluid turbulence.
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For a long time, people thought that turbulence was initiated by changes over time (short periods of time, but time) in the motion of the fluid. This was worked out by those 3 guys (not to be confused by the 5 guys (hamburger chain) and thus called L-R-T).
Avila and his budddies found that the initiation of turbulence (in their systems) is not so much a time domain phenomenon, but is caused by little areas of chaotic flow spreading out in space. Of course, it takes time to do that... BUT!
And, as we all know!, when fluid motion starts out laminar, it often winds up turbulent (just like women) -- Osborne Reynolds was the first major dude to tell ya, as Steely Dan put it...
Capiche?