"Turbulence: a stroll through 61,506 dimensions" by Predrag Cvitanovic
November 17, 2010 - 10:00am
In the world of moderate Reynolds number, everyday turbulence of fluids flowing across planes and down pipes a velvet revolution is taking place. Experiments are almost as detailed as the numerical simulations, Numerical simulations are yielding exact numerical solutions that one dared not dream about a decade ago, and dynamical systems visualization of turbulent fluid's state space geometry is unexpectedly elegant.
We shall take you on a tour of this newly breached, hitherto inaccessible territory. Mastery of fluid mechanics is no prerequisite, and perhaps a hindrance: the talk is aimed at anyone who had ever wondered why - if no cloud is ever seen twice - we know a cloud when we see one? And how do we turn that into mathematics?
[colloquium by Shoucheng Zhang is postponed due to a family emergency. If you have attended the 9/28/2010 School of Mathematics PDE Seminar, skip this]