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math.AP2024
On the Aw-Rascle-Zhang traffic models with nonlocal look-ahead interactions
Thomas Hamori, Changhui Tan
We present a new family of second-order traffic flow models, extending the Aw-Rascle-Zhang (ARZ) model to incorporate nonlocal interactions. Our model includes a specific nonlocal…
math.AP2022
Sharp critical thresholds for a class of nonlocal traffic flow models
Thomas Hamori, Changhui Tan
We study a class of traffic flow models with nonlocal look-ahead interactions. The global regularity of solutions depend on the initial data. We obtain sharp critical threshold con…