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A second order model of road junctions in fluid models of traffic networks

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  • This article deals with the modeling of junctions in a road network from a macroscopic point of view. After reviewing the Aw & Rascle second order model, a compatible junction model is proposed. The properties of this model and particularly the stability are analyzed. It turns out that this model presents physically acceptable solutions, is able to represent the capacity drop phenomenon and can be used to simulate the traffic evolution on a network.
    Mathematics Subject Classification: Primary: 35L; Secondary: 35L65.

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