### The geometry of dissipative evolution equation

- Series
- SIAM Student Seminar
- Time
- Friday, March 5, 2010 - 13:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Yao Li – Georgia Tech

Last semester, I reviewed the relation between dynamical system,
Fokker-Planck equation and thermodynamics (free energy and Gibbs
distribution). This time let's go further. I will review the geometric
properties of a kind of dissipative evolution equations. I will explain
why this kind of evolutionary equations (Fokker-Planck equation,
nonlinear Fokker-Planck equation, Porous medium equation) are the
gradient flow of some energy function on a Riemannian manifold --
2-Wasserstein metric space.