Smoke Ring Flow

Friday, June 21, 2019 - 2:00pm - 3:00pm
Keller 3-180
Peter Schroeder (California Institute of Technology)
Smoke rings are long time stable structures in fluid flows. How do they come about? Why are they so stable? Talking about smoke rings will give us an opportunity to bring differential geometry to bear on a fascinating physical evolution. Here for curves, i.e., the center curve of the smoke ring. Even though we will work with a mathematical abstraction of vorticity concentrated in a singular manner on a curve, it works remarkably well in describing real world phenomena. Time permitting we will take this all the way to the forefront of research discussing vortex filaments with variable thickness in viscous fluids and the beautiful phenomena which an be captured with a pure first principles differential geometric approach.