A Kinetic Model for Vehicular Traffic: Existence of Stationary Solutions

Journal of Mathematical Analysis and Applications

Volumn 237, Issue 2, 1999, Pages 622-643

  Illner, R ^a   Klar, A ^b   Lange, H ^c   Unterreiter, A ^d   Wegener, R ^e  

^a UNIVERSITY OF VICTORIA   (Canada)

^b FREIE UNIVERSITÄT BERLIN   (Germany)

^c UNIVERSITY OF COLOGNE   (Germany)

^d Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

^e Inst Techno Wirtschaftsmathematik   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000416212     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6493     Document Type: Article

References (8)

1. C. Cercignani, R. Illner, and M. Pulvirenti, "The Mathematical Theory of Dilute Gases," Springer-Verlag, Berlin/New York, 1994.
2. A. Klar and R. Wegener, Enskog-like kinetic models for vehicular traffic, J. Stat. Phys. 87 (1997), 91-114.
3. A. Klar and R. Wegener, A hierarchy of models for multilane vehicular traffic. I. Modeling, SIAM J. Appl. Math. 59 (1999), 983-1001.
4. A. Klar and R. Wegener, A hierarchy of models for multilane vehicular traffic. II. Numerical investigations, SIAM J. Appl. Math. 59 (1999), 1002-1011.
5. P. Nelson, A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions, Transport Theory Stat. Phys. 24 (1995), 383-408.
6. S. L. Paveri-Fontana, On Boltzmann like treatments for traffic flow, Transportation Res. 9 (1975), 225-235.
7. W. F. Phillips, "Kinetic Model for Traffic Flow," National Technical Information Service, Springfield, VA, 1977.
8. I. Prigogine and F. C. Andrews, A Boltzmann like approach for traffic flow, Oper. Res. 8 (1960), 789-797.