Derivation and analysis of continuum models for crossing pedestrian traffic
From MaRDI portal
Publication:5272435
DOI10.1142/S0218202517400164zbMath1371.35163arXiv1612.07582MaRDI QIDQ5272435
Marie-Therese Wolfram, Helene Ranetbauer, Sabine Hittmeir, Christian Schmeiser
Publication date: 29 June 2017
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.07582
Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Related Items (6)
Memory's effect on bidirectional pedestrian flow based on lattice hydrodynamic model ⋮ Stochastic and coarse-grained two-dimensional modeling of directional particle movement ⋮ An anisotropic interaction model with collision avoidance ⋮ A lattice Boltzmann model for the coupled cross-diffusion-fluid system ⋮ Emergent behaviors of the Cucker–Smale ensemble under attractive–repulsive couplings and Rayleigh frictions ⋮ Mathematical models of self-propelled particles
Cites Work
- Corrigendum to: ``Analysis of degenerate cross-diffusion population models with volume filling
- Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics
- Kinetic description of collision avoidance in pedestrian crowds by sidestepping
- Two-way multi-lane traffic model for pedestrians in corridors
- Vision-based macroscopic pedestrian models
- Multiscale modeling of pedestrian dynamics
- An improved version of the Hughes model for pedestrian flow
- Lane Formation by Side-Stepping
- Crossing pedestrian traffic flows, the diagonal stripe pattern, and the chevron effect
- PEDESTRIAN FLOW MODELS WITH SLOWDOWN INTERACTIONS
- From the Microscale to Collective Crowd Dynamics
- Efficient numerical methods for multiscale crowd dynamics with emotional contagion
- Multiscale Modeling of Granular Flows with Application to Crowd Dynamics
- A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE
- On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives
- MODELING CROWD DYNAMICS FROM A COMPLEX SYSTEM VIEWPOINT
- Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds
- An $n$ -populations model for traffic flow
- The boundedness-by-entropy method for cross-diffusion systems
- FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
- Pedestrian flows and non-classical shocks
This page was built for publication: Derivation and analysis of continuum models for crossing pedestrian traffic
