Kinetic equilibria in traffic flow models

Transport Theory and Statistical Physics

Volumn 31, Issue 7, 2002, Pages 615-634

  Illner, Reinhard ^a   Stoica, Cristina ^a   Klar, Axel ^b   Wegener, Raimund ^c  

^a UNIVERSITY OF VICTORIA   (Canada)

^b DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^c FRAUNHOFER INSTITUTE FOR INDUSTRIAL MATHEMATICS ITWM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036459762     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1081/TT-120015626     Document Type: Article

References (9)

1. Klar, A.; Wegener, R. Enskog-Like Kinetic Models For Vehicular Traffic. J. Stat. Phys. 1997, 87, 91-114.
2. Klar, A.; Wegener, R. A Hierarchy of Models for Multilane Vehicular Traffic. I. Modeling, and II. Numerical Investigations. SIAM J. Appl. Math. 1999, 59, 983-1001.
3. Nelson, P. A Kinetic Model of Vehicular Traffic and Its Associated Bimodal Equilibrium Solutions. Transport Theory Stat. Phys. 1995, 24, 383-408.
4. Prigogine, I.; Andrews, F.C.; A Boltzmann Like Approach for Traffic Flow. Oper. Res. 1960, 8, 789-797.
5. Prigogine, I.; Herman, R. Kinetic Theory of Vehicular Traffic; American Elsevier Publ. Co.: New York, 1971.
6. Nelson, P.; Sopasakis, A. The Prigogine-Herman Kinetic Model Predicts Widely Scattered Traffic Flow Data At High Concentrations. Transport. Res. B 1998, 32(8), 589-604.
7. Günther, M.; Klar, A.; Materne, Th.; Wegener, R. An Explicitly Solvable Kinetic Model For Vehicular Traffic and Associated Macroscopic Equations. Math. Comp. Modelling 2002, 35, 591-606.
8. Illner, R.; Klar, A.; Lange, H.; Unterreiter, A.; Wegener, R. A Kinetic Model for Vehicular Traffic: Existence of Stationary Solutions. J. Math. Anal. Appl. 1999, 237, 622-643.
9. Levermore, D. Moment Closure Hierarchies for Kinetic Theories. J. Stat. Phys. 1996, 83, 1021-1065.