Crowd Dynamics Through Conservation Laws
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Publication:5012169
DOI10.1007/978-3-030-50450-2_5zbMath1471.90051OpenAlexW3094124256MaRDI QIDQ5012169
Magali Lécureux-Mercier, Mauro Garavello, Rinaldo M. Colombo
Publication date: 31 August 2021
Published in: Crowd Dynamics, Volume 2 (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-50450-2_5
Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Social and behavioral sciences: general topics (91C99)
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Cites Work
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- Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow
- Differential equations modeling crowd interactions
- Nonlocal systems of balance laws in several space dimensions with applications to laser technology
- On the stability of a model for the cutting of metal plates by means of laser beams
- Analysis of a conservation law modeling a highly re-entrant manufacturing system
- Mixed systems: ODEs-balance laws
- Time-evolving measures and macroscopic modeling of pedestrian flow
- On multiscale models of Pedestrian crowds from mesoscopic to macroscopic
- On the modeling of pedestrian motion
- Stability and total variation estimates on general scalar balance laws
- Convergence of finite volume monotone schemes for scalar conservation laws on bounded domains
- Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems
- Macroscopic modeling and simulations of room evacuation
- The continuum limit of follow-the-leader models -- a short proof
- Stability estimates for non-local scalar conservation laws
- Nonlocal crowd dynamics models for several populations
- Modeling crowd dynamics through coarse-grained data analysis
- A phenomenological operator description of dynamics of crowds: escape strategies
- A modeling framework for biological pest control
- On traffic flow with nonlocal flux: a relaxation representation
- On the interplay between behavioral dynamics and social interactions in human crowds
- Non-local multi-class traffic flow models
- Hyperbolic predators vs. parabolic prey
- Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit
- A discrete mathematical model for the dynamics of a crowd of gazing pedestrians with and without an evolving environmental awareness
- Measure-theoretic models for crowd dynamics
- Numerical methods for mean-field and moment models for pedestrian flow
- Pedestrian models based on rational behaviour
- Viscous profiles in models of collective movement with negative diffusivity
- On the singular local limit for conservation laws with nonlocal fluxes
- Regularity results for the solutions of a non-local model of traffic flow
- Multiscale modeling of pedestrian dynamics
- Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients
- On the stability of the standard Riemann semigroup
- Convergence of a numerical scheme for a mixed hyperbolic-parabolic system in two space dimensions
- IMPROVED STABILITY ESTIMATES FOR GENERAL SCALAR CONSERVATION LAWS
- A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC
- Macroscopic First Order Models of Multicomponent Human Crowds with Behavioral Dynamics
- Control of the continuity equation with a non local flow
- On the coupling of systems of hyperbolic conservation laws with ordinary differential equations
- Nonlocal Conservation Laws in Bounded Domains
- Definitions of solutions to the IBVP for multi-dimensional scalar balance laws
- FIRST-ORDER MACROSCOPIC MODELLING OF HUMAN CROWD DYNAMICS
- A Moving Mesh Numerical Method for Hyperbolic Conservation Laws
- Kruzkov’s estimates for scalar conservation laws revisited
- Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel
- High-Order Numerical Schemes for One-Dimensional Nonlocal Conservation Laws
- Recent results on the singular local limit for nonlocal conservation laws
- Modelling crowd movements in domains with boundaries
- On the Numerical Integration of Scalar Nonlocal Conservation Laws
- A kinetic theory approach to the dynamics of crowd evacuation from bounded domains
- Nonlocal Systems of Conservation Laws in Several Space Dimensions
- Hyperbolic Conservation Laws in Continuum Physics
- Front tracking for hyperbolic conservation laws
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