# American Institute of Mathematical Sciences

June  2007, 2(2): 227-253. doi: 10.3934/nhm.2007.2.227

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

 1 CESAME, Avenue G. Lemaître, 4, 1348 Louvain-la-Neuve, Belgium 2 Center for Systems Engineering and Applied Mechanics (CESAME), Department of Mathematical Engineering, Université catholique de Louvain, 4, Avenue G. Lemaître, 1348 Louvain-la-Neuve, Belgium

Received  July 2006 Revised  January 2007 Published  March 2007

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.
Citation: Bertrand Haut, Georges Bastin. A second order model of road junctions in fluid models of traffic networks. Networks & Heterogeneous Media, 2007, 2 (2) : 227-253. doi: 10.3934/nhm.2007.2.227
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