Traveling waves for conservation laws with nonlocal flux for traffic flow on rough roads

We consider two scalar conservation laws with non-local flux functions, describing traffic flow on roads with rough conditions. In the first model, the velocity of the car depends on an averaged downstream density, while in the second model one considers an averaged downstream velocity. The road con...

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Bibliographic Details
Published in:Networks and Heterogeneous Media
Main Author: Wen Shen
Format: Article
Language:English
Published: AIMS Press 2019-12-01
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/nhm.2019028