Tuesday, October 12, 2010 - 3:00pm
1 hour (actually 50 minutes)
Motivated by applications to vehicular traffic, supply chains and others, various continuous models for traffic flow on networks were recently proposed. We first present some results for theory of conservation laws on graphs. Then we focus on recent mixed models, involving continuous-discrete spaces and ode-pde systems. Then a time evolving measures approach is showed, with applications to crowd dynamics.