An explicitly solvable kinetic model for vehicular traffic and associated macroscopic equations

Mathematical and Computer Modelling

Volumn 35, Issue 5-6, 2002, Pages 591-606

  Gunther M ^a   Klar, A ^b   Materne, T ^b   Wegener, R ^a  

^a FRAUNHOFER INSTITUTE FOR INDUSTRIAL MATHEMATICS ITWM   (Germany)

^b DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Kinetic derivation; Macroscopic equations; Traffic flow

Indexed keywords

EID: 0036170488     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(02)80023-1     Document Type: Article

References (15)

1. FREFLO: A macroscopic simulation model of freeway traffic
2. Macroscopic freeway model for dense traffic
3. Requiem for second order fluid approximations of traffic flow
4. Resurrection of second order models of traffic flow?
5. On Boltzmann like treatments for traffic flow
6. A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions
7. Enskog-like kinetic models for vehicular traffic
8. Gas-kinetic derivation of Navier-Stokes-like traffic equation
9. A hierarchy of models for multilane vehicular traffic I: Modeling
10. Kinetic derivation of macroscopic anticipation models for vehicular traffic
11. A kinetic model for vehicular traffic: Existence of stationary solutions