Sticky particle dynamics with interactions

Research Horizons Seminar
Wednesday, October 27, 2010 - 12:00pm
1 hour (actually 50 minutes)
Skiles 171
School of Mathematics - Georgia Institute of Technology

Hosts: Yao Li and Ricardo Restrepo

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.