Micro- and macroscopic modeling of crowding and pushing in corridors

DOI10.3934/nhm.2020025zbMath1455.91175arXiv1911.10404OpenAlexW3048060322MaRDI QIDQ828464

Michael J. Fischer, Marie-Therese Wolfram, Gaspard Jankowiak

Publication date: 8 January 2021

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.10404

zbMATH Keywords

parameter estimationFokker-Planck equationeikonal equationscalar conservation lawsmicroscopic and macroscopic pedestrian models

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Social and behavioral sciences: general topics (91C99) Fokker-Planck equations (35Q84) Traffic and pedestrian flow models (76A30)

Related Items (5)

Towards a mathematical theory of behavioral human crowds ⋮ Differential games for crowd dynamics and applications ⋮ Human behavioral crowds review, critical analysis and research perspectives ⋮ A numerical investigation of pedestrian dynamics based on rational behaviour in different density scenarios ⋮ Multi-scale description of pedestrian collective dynamics with port-Hamiltonian systems

Cites Work

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• Explicit Formula for Weighted Scalar Nonlinear Hyperbolic Conservation Laws
• Crowds in Equations
• Explicit formula for scalar non‐linear conservation laws with boundary condition
• Parameter Estimation for Macroscopic Pedestrian Dynamics Models from Microscopic Data
• The boundedness-by-entropy method for cross-diffusion systems
• Fast Sweeping Methods for Eikonal Equations on Triangular Meshes
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
• Simulation of pedestrian dynamics using a two-dimensional cellular automaton

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