A nonlocal traffic flow model with stochastic velocity
<|reference_start|>A nonlocal traffic flow model with stochastic velocity: In this paper, we investigate a nonlocal traffic flow model based on a scalar conservation law, where a stochastic velocity function is assumed. In addition to the modeling, theoretical properties of the stochastic nonlocal model are provided, also addressing the question of well-posedness. A detailed numerical analysis offers insights how the stochasticity affects the evolution of densities. Finally, numerical examples illustrate the mean behavior of solutions and the influence of parameters for a large number of realizations.<|reference_end|>
@article{böhme2024a,
    title={A nonlocal traffic flow model with stochastic velocity},
    author={Timo B"ohme, Simone G"ottlich, Andreas Neuenkirch},
    journal={arXiv preprint arXiv:2407.02962},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.02962},
    primaryClass={math.NA cs.NA}
}