2021/03/16 by Raul Borsche, Borsche, Raul, Axel Klar +1
Engineering · Social Sciences · #Analysis of PDEs (math.AP) #Evacuation and Crowd Dynamics #FOS: Mathematics #Traffic control and management #Transportation Planning and Optimization
paper · pdf · doi:10.48550/arxiv.2103.08899
openalex publication_date 2021/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we propose coupling conditions for a relaxation model for vehicular traffic on networks. We present a matched asymptotic expansion procedure to derive a LWR- network with well-known classical coupling conditions from the relaxation network in the macroscopic limit. Similar to the asymptotic limit of boundary value problems, we perform an asymptotic analysis of the interface layers at the nodes and a matching procedure using half-Riemann problems for the limit conservation law. Moreover, we present numerical experiments comparing the relaxation network with the LWR network for a broader range of coupling conditions.