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This lecture by Dennis Sullivan from Stony Brook University explores the complex dynamics of 3D fluid motion, focusing on vorticity as the curl of the velocity field. Learn how vorticity as a vector field transports forward in time while being diffused by Brownian motion. Discover methods for studying geometric distortion and obtaining a priori bounds using concepts derived from Cartan symmetric spaces. The presentation offers valuable insights into advanced fluid dynamics theory for mathematicians and physicists interested in fluid mechanics.
