Conservation Laws with Unilateral Constraints in Traffic Modeling
Abstract
Macroscopic models for both vehicular and pedestrian traffic are based on conservation laws. The mathematical description of toll gates along roads or of the escape dynamics for crowds needs the introduction of unilateral constraints on the observable flow. This note presents a rigorous approach to these constraints, and numerical integrations of the resulting models are included to show their practical usability.
Domains
Analysis of PDEs [math.AP]
Origin : Publisher files allowed on an open archive
Loading...