Free-congested and micro-macro descriptions of traffic flow

Author:

Marcellini Francesca,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference26 articles.

1. Derivation of continuum traffic flow models from microscopic follow-the-leader models,;A. Aw;SIAM J. Appl. Math.,2002

2. Resurrection of "second order'' models of traffic flow,;A. Aw;SIAM J. Appl. Math.,2000

3. On the role of source terms in continuum traffic flow models,;P. Bagnerini;Math. Comput. Modelling,2006

4. A multiclass homogenized hyperbolic model of traffic flow,;P. Bagnerini;SIAM J. Math. Anal.,2003

5. An $n$-populations model for traffic flow,;S. Benzoni Gavage;Europ. J. Appl. Math.,2003

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1. The Follow-The-Leader model without a leader: An infinite-dimensional Cauchy problem;Journal of Mathematical Analysis and Applications;2021-03

2. Global Weak Solutions to the Cauchy Problem for a Two-Phase Model at a Node;SIAM Journal on Mathematical Analysis;2020-01

3. The Riemann problem for a Two-Phase model for road traffic with fixed or moving constraints;Mathematical Biosciences and Engineering;2020

4. Boundary coupling of microscopic and first order macroscopic traffic models;Nonlinear Differential Equations and Applications NoDEA;2017-06-28

5. The Godunov method for a 2-phase model;Communications in Applied and Industrial Mathematics;2017-03-28

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