A non-local traffic flow model for 1-to-1 junctions

• Published in: European journal of applied mathematics Vol. 31; no. 6; pp. 1029 - 1049
• Main Authors: CHIARELLO, F. A., FRIEDRICH, J., GOATIN, P., GÖTTLICH, S., KOLB, O.
• Format: Journal Article
• Language: English
• Published: Cambridge Cambridge University Press 01.12.2020; Cambridge University Press (CUP)
• Subjects: Analysis of PDEs; Applied mathematics; Conservation laws; Mathematical Physics; Mathematics; Numerical Analysis; Segments; Traffic flow; Traffic models; Macroscopic traffic flow models on networks AMS subject classifications: 35L65; Non-local scalar conservation laws; Macroscopic traffic flow models on networks; Upwind scheme

We present a model for a class of non-local conservation laws arising in traffic flow modelling at road junctions. Instead of a single velocity function for the whole road, we consider two different road segments, which may differ for their speed law and number of lanes (hence their maximal vehicle...