Séminaire d'analyse

An abstract existence for generalised Hughes' model

by Mr Théo Girard (Université de Tours - Institut Denis Poisson)

E2290 (Tours)




The Hughes' model is a model for the dynamics of pedestrian flows.

In the one dimensional case, it represents the evacuation of agents in a corridor through either one of the exits.
This model couples two PDEs : a discontinuous-flux conservation law and an eikonal equation.
After a brief review about what's known on the subject, we propose an abstract existence result for solutions to generalized Hughes' model.
We also present three applications of this existence result and an extension with constrained evacuation at exits.
Organized by

Vincent Perrollaz