Conservation laws with a non-local flow application to pedestrian traffic

DOI10.1051/proc/201238023zbMath1329.35197arXiv1111.7308OpenAlexW2082999463MaRDI QIDQ3451644

Magali Lécureux-Mercier

Publication date: 17 November 2015

Published in: ESAIM: Proceedings (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.7308

zbMATH Keywords

existenceuniqueness

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)

Cites Work

• Unnamed Item
• An analytical framework to describe the interactions between individuals and a continuum
• On the Hughes' model for pedestrian flow: the one-dimensional case
• Nonlocal crowd dynamics models for several populations
• Two-way multi-lane traffic model for pedestrians in corridors
• Handling congestion in crowd motion modeling
• IMPROVED STABILITY ESTIMATES FOR GENERAL SCALAR CONSERVATION LAWS
• A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC
• Control of the continuity equation with a non local flow
• A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE
• On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives
• 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
• T<scp>HE</scp> F<scp>LOW OF</scp> H<scp>UMAN</scp> C<scp>ROWDS</scp>

This page was built for publication: Conservation laws with a non-local flow application to pedestrian traffic