PIMS - UBC Distinguished Colloquium: Inwon Kim

In this talk we will first discuss Crowd motions in emergency evacuation setting. Then we will discuss its relevance to the transport of incompressible fluids. We formulate these motions as "gradient flows", i.e. an evolution that moves to dissipate their free energy as fast as possible. The gradient flow structure allows variational methods to study time-dependent problems. Our goal is to establish global-time existence of solutions past potential topological or geometrical singularities. We will survey relevant results in the literature, open problems, and then report a recent result.

 

 

 

 

Minicourse: 

Prof. Inwon Kim will be giving a minicourse on Gradient Flows and Minimizing Movements. More details are available here