Seminar on nonlinear problems of PDE and mathematical physics on topic: “Existence of solutions to one- dimensional hughes model for pedestrian evacuation”
29 November at 18:00 MSK
Professor B.P. Andreianov (University of Tours, Tours, France)
Title of the talk: Existence of solutions to one- dimensional hughes model for pedestrian evacuation
We present two proofs of existence for solutions of the Hughes’ model describing the evacuation of a corridor by its two ends. The model takes the form of a discontinuous-flux scalar hyperbolic conservation law with a moving interface. One proof uses a Schauder fixed-point argument. The other one is obtained through constructing a many-particle Hughes’ model and analyzing its convergence with the help of BV_loc estimates.