The Aw–Rascle and Zhang’s model: Vacuum problems, existence and regularity of the solutions of the Riemann problem-Reference-Cited by-同舟云学术

The Aw–Rascle and Zhang’s model: Vacuum problems, existence and regularity of the solutions of the Riemann problem

Published:2007-08 Issue:7 Volume:41 Page:710-721
ISSN:0191-2615
Container-title:Transportation Research Part B: Methodological
language:en
Short-container-title:Transportation Research Part B: Methodological

Author:

Lebacque Jean-Patrick,Mammar Salim,Haj-Salem Habib

Publisher

Elsevier BV

Subject

Management Science and Operations Research,Transportation,Civil and Structural Engineering

Reference10 articles.

1. Resurrection of second order models of traffic flow;Aw;SIAM Journal of Applied Mathematics,2000

2. Requiem for second-order fluid approximations of traffic flow;Daganzo;Transportation Research Part B,1995

3. A formulation of reaction time of traffic flow models;Del Castillo,1993

4. Numerical Schemes for Conservation Laws;Kröner,1997

5. Lebacque, J.P., Mammar, S., Haj-Salem, H., 2005. Second order traffic flow modeling: supply–demand analysis of the inhomogeneous Riemann problem and of boundary conditions. In: Proceedings of the Euro Working Group on Transportation, Poznan.

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