The Library
Derivation and analysis of continuum models for crossing pedestrian traffic
Tools
Tools
Tools
Hittmeir, Sabine, Ranetbauer, Helene, Schmeiser, Christian and Wolfram, Marie-Therese (2017) Derivation and analysis of continuum models for crossing pedestrian traffic. Mathematical Models and Methods in Applied Sciences, 27 (7). pp. 1301-1325. doi:10.1142/S0218202517400164 ISSN 0218-2025.
|
PDF
WRAP-continuum-models-crossing-pedestrian-traffic-Wolfram-2017.pdf - Accepted Version - Requires a PDF viewer. Download (5Mb) | Preview |
|
![[img]](https://wrap.warwick.ac.uk/style/images/fileicons/application_pdf.png) |
PDF (Pre-publication version)
arxiv_1612.07582v1.pdf Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (5Mb) |
|
|
PDF (notification of acceptance to author from publisher)
Hittmeir-Ranetbauer-Schmeiser-Wolfram-SPP 17.pdf Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (148Kb) |
Official URL: http://dx.doi.org/10.1142/S0218202517400164
Abstract
In this paper we study hyperbolic and parabolic nonlinear partial differential equation models, which describe the evolution of two intersecting pedestrian flows. We assume that individuals avoid collisions by sidestepping, which is encoded in the transition rates of the microscopic 2D model. We formally derive the corresponding mean-field models and prove existence of global weak solutions for the parabolic model. Moreover we discuss stability of stationary states for the corresponding one-dimensional model. Furthermore we illustrate the rich dynamics of both systems with numerical simulations.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | H Social Sciences > HE Transportation and Communications Q Science > QA Mathematics |
||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | City traffic, Pedestrians, Differential equations, Hyperbolic | ||||||
| Journal or Publication Title: | Mathematical Models and Methods in Applied Sciences | ||||||
| Publisher: | World Scientific Publishing Co. Pte. Ltd. | ||||||
| ISSN: | 0218-2025 | ||||||
| Official Date: | 2 May 2017 | ||||||
| Dates: |
|
||||||
| Volume: | 27 | ||||||
| Number: | 7 | ||||||
| Page Range: | pp. 1301-1325 | ||||||
| DOI: | 10.1142/S0218202517400164 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 25 April 2017 | ||||||
| Date of first compliant Open Access: | 2 May 2018 | ||||||
| Funder: | Fonds zur Förderung der Wissenschaftlichen Forschung (Austria) (FWF), Österreichische Akademie der Wissenschaften [Austrian Academy of Sciences] | ||||||
| Grant number: | Hertha- Firnberg project T-764 (FWF), New Frontiers Group NST-001 (Österreichische Akademie der Wissenschaften) | ||||||
| Related URLs: | |||||||
| Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
