A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries
From MaRDI portal
Publication:2047855
zbMath1470.90018MaRDI QIDQ2047855
Paola Goatin, Luis Miguel Villada, Daniel Inzunza, Raimund Bürger
Publication date: 4 August 2021
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
bounded domainsanisotropic interactionshigh-resolution WENO schemesmacroscopic pedestrian flow modelsnon-local conservation laws
Traffic problems in operations research (90B20) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)
Related Items (5)
Solutions of kinetic equations related to non-local conservation laws ⋮ Convergence of a second-order scheme for non-local conservation laws ⋮ Existence result for a two-dimensional system of conservation laws with unilateral constraints ⋮ A space-time nonlocal traffic flow model: relaxation representation and local limit ⋮ Stability of a Nonlocal Traffic Flow Model for Connected Vehicles
Cites Work
- Unnamed Item
- Unnamed Item
- Pedestrian flows in bounded domains with obstacles
- Weighted essentially non-oscillatory schemes
- Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains
- Macroscopic modeling and simulations of room evacuation
- Efficient implementation of weighted ENO schemes
- Nonlocal crowd dynamics models for several populations
- Numerical solution of a spatio-temporal predator-prey model with infected prey
- Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models
- Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics
- Implicit-explicit methods for a class of nonlinear nonlocal gradient flow equations modelling collective behaviour
- Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents
- Vision-based macroscopic pedestrian models
- Pedestrian dynamics. Feedback control of crowd evacuation
- Well-posedness of a conservation law with non-local flux arising in traffic flow modeling
- Modern Computer Algebra
- IMPROVED STABILITY ESTIMATES FOR GENERAL SCALAR CONSERVATION LAWS
- A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC
- A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE
- On nonlocal conservation laws modelling sedimentation
- Nonlocal Conservation Laws in Bounded Domains
- Definitions of solutions to the IBVP for multi-dimensional scalar balance laws
- First order quasilinear equations with boundary conditions
- ON THE MODELLING CROWD DYNAMICS FROM SCALING TO HYPERBOLIC MACROSCOPIC MODELS
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- On a nonlocal dispersive equation modeling particle suspensions
- High-Order Numerical Schemes for One-Dimensional Nonlocal Conservation Laws
- Modelling crowd movements in domains with boundaries
- Pedestrian flows and non-classical shocks
This page was built for publication: A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries
