| 611 | RWTH Publication No: 963347 2023 |
| TITLE | A non-local traffic flow model for 1-to-1 junctions with buffer |
| AUTHORS | F. A. Chiarello, J. Friedrich, S. Göttlich |
| ABSTRACT | In this paper, we introduce a non-local PDE-ODE traffic model devoted to the description of a 1-to-1 junction with buffer. We present a numerical method to approximate solutions and show a maximum principle which is uniform in the non-local interaction range. Further, we exploit the limit models as the support of the kernel tends to zero and to infinity. We compare them with other already existing models for traffic and production flow and present numerical examples. |
| KEYWORDS | scalar conservation laws, anisotropic non-local flux, coupled PDE-ODE model, traffic flow |
| DOI | 10.3934/nhm.2024018 |
| PUBLICATION | Networks and Heterogeneous Media 2024, Volume 19, Issue 1: 405-429 |
