- Series
- PDE Seminar
- Time
- Tuesday, January 28, 2014 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Gerard Misiolek – University of Notre Dame
- Organizer
- Geng Chen
In 1966 V. Arnold observed that solutions to the Euler equations of incompressible fluids can be
viewed as geodesics of the kinetic energy metric on the group of volume-preserving diffeomorphisms.
This introduced Riemannian geometric methods into the study of ideal fluids. I will first review this approach
and then describe results on the structure of singularities of the associated exponential map and (time premitting)
related recent developments.