# Network models for nonlocal traffic flow

@article{Friedrich2021NetworkMF, title={Network models for nonlocal traffic flow}, author={Jan Friedrich and Simone G{\"o}ttlich and Maximilian Osztfalk}, journal={ArXiv}, year={2021}, volume={abs/2105.00834} }

We present a network formulation for a traffic flow model with nonlocal velocity in the flux function. The modeling framework includes suitable coupling conditions at intersections to either ensure maximum flux or distribution parameters. Based on an upwind type numerical scheme, we prove the maximum principle and the existence of weak solutions on networks. We also investigate the limiting behavior of the proposed models when the nonlocal influence tends to infinity. Numerical examples show… Expand

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