Gas-kinetic derivation of Navier-Stokes-like traffic equations

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 53, Issue 3, 1996, Pages 2366-2381

  Helbing, Dirk ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3643096762     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.53.2366     Document Type: Article

References (94)

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80. 0(r, t) Interestingly enough, the adaptation term does not bring about modifications of the density equation, the velocity equation, the variance equation, or the covariance equation derived later on. Therefore it was not included in the main discussion.
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90. 0.
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92. Here, the term "characteristic speeds" refers to the slopes of the characteristics in the (r, t) plane which can be calculated for a hyperbolic system of partial differential equations [63].
93. However, note that the traffic model simulated in Ref. [5] differs in some details from the Navier-Stokes-like model derived in this paper.
94. e) by inserting (82) into (80).