Sticky particle dynamics

Ryan Hynd, University of Pennsylvania
Fine Hall 314

I will discuss the time evolution of a collection of particles that interact primarily through perfectly inelastic collisions. I will explain why this problem is tractable if the particles are constrained to lie on a line versus if they are allowed to move freely in space. In particular, I'll also describe an equation at the heart of this difficulty which some researchers believe has been solved and others do not. I'll also mention motivations in astronomy and connections with optimal mass transportation.