PIMS Mini-Course with Inwon Kim: Gradient Flows and Minimizing Movements (2)

  • Date: 03/05/2020
  • Time: 03:30
Inwon Kim, UCLA

University of British Columbia


Gradient Flows and Minimizing Movements


We will discuss Gradient flow structures in parabolic type PDEs and interface motions. Such structure introduces physical interpretations to time-dependent PDEs in terms of energy dissipation, and allows a weak notion of global-time solutions to nonlinear PDE problems. In broader terms, we will discuss minimizing movements, which approximates dissipative PDE systems with a discrete-time optimization problem. Lecture 1 will be a general introduction. Lecture 2 and 3 will discuss specific examples of minimizing movements: the mean curvature flow and nonlinear diffusions with Darcy's law.


The third lecture is on Tuesday March 10

Other Information: 

Location: ESB 4133