Seminar on nonlinear problems of PDE and mathematical physics on topic: “Existence of solutions to one- dimensional hughes model for pedestrian evacuation”

Seminar on nonlinear problems of PDE and mathematical physics on topic: “Existence of solutions to one- dimensional hughes model for pedestrian evacuation”

The event passed
29 Nov 2022
Location
Online
Contact person
Ivanov N. O.
About the event

29 November at 18:00 MSK

Speakers

Professor B.P. Andreianov (University of Tours, Tours, France)

Title of the talk: Existence of solutions to one- dimensional hughes model for pedestrian evacuation

Annotation

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.

Online

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