Sticky Particle Dynamics with Interactions
Speaker:
Wilfrid Gangbo, Georgia Institute of Technology and Georgia Tech
Date and Time:
Friday, November 5, 2010 - 4:40pm to 5:30pm
Location:
Fields Institute, Room 230
Abstract:
We consider compressible fluid flows in Lagrangian coordinates in one space dimension. We assume that the fluid self-interacts through a force field generated by the fluid. We explain how this flow can be described by a differential inclusion on the space of transport maps, when the sticky particle dynamics is assumed. We prove a stability result for solutions of this system. Global existence then follows from a discrete particle approximation.