HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

A mixed system modeling two-directional pedestrian flows

Abstract : In this article, we present a simplified model to describe the dynamics of two groups of pedestrians moving in opposite directions in a corridor. The model consists of a 2x2 system of conservation laws of mixed hyperbolic-elliptic type. We study the basic properties of the system to understand why and how bounded oscillations in numerical simulations arise. We show that Lax-Friedrichs scheme ensures the invariance of the domain and we investigate the existence of measure-valued solutions as limit of a subsequence of approximate solutions.
Document type :
Journal articles
Complete list of metadata

Cited literature [24 references]  Display  Hide  Download

https://hal.inria.fr/hal-00968396
Contributor : Paola Goatin Connect in order to contact the contributor
Submitted on : Monday, March 31, 2014 - 10:44:20 PM
Last modification on : Wednesday, February 2, 2022 - 3:57:29 PM
Long-term archiving on: : Monday, April 10, 2017 - 8:01:26 AM

File

GoatinMimault.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00968396, version 1

Citation

Paola Goatin, Matthias Mimault. A mixed system modeling two-directional pedestrian flows. Mathematical Biosciences and Engineering, AIMS Press, 2015, 12 (2), pp.375-392. ⟨hal-00968396⟩

Share

Metrics

Record views

746

Files downloads

280