- Series
- PDE Seminar
- Time
- Tuesday, April 19, 2016 - 3:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Dejan Slepcev – Carnegie Mellon University
- Organizer
- Wilfrid Gangbo
We will discuss a distance between shapes defined by minimizing the integral of
kinetic energy along transport paths constrained to measures with characteristic-function
densities. The formal geodesic equations for this shape distance are Euler equations for
incompressible, inviscid flow of fluid with zero pressure and surface tension on the free
boundary. We will discuss the instability that the minimization problem develops and the
resulting connections to optimal transportation. The talk is based on joint work with
Jian-Guo Liu (Duke) and Bob Pego (CMU).