Séminaire d'analyse

An abstract existence for generalised Hughes' model

par M. Théo Girard (Université de Tours - Institut Denis Poisson)

Europe/Paris
E2290 (Tours)

E2290

Tours

Description

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.
 
 
Organisé par

Vincent Perrollaz