Article citationsMore>>
R. M. Velasco and W. Marques Jr., “Navier-Stokes-Like Equations for Traffic Flow,” Physical Review E, Vol. 72, No. 4, 2005, pp. 046102-046110.
doi:10.1103/PhysRevE.72.046102
has been cited by the following article:
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TITLE:
Clusters in Macroscopic Traffic Flow Models
AUTHORS:
Rosa María Velasco, Patricia Saavedra
KEYWORDS:
Traffic Flow; Solitons
JOURNAL NAME:
World Journal of Mechanics,
Vol.2 No.1,
February
29,
2012
ABSTRACT: This paper concerns the traveling wave formation in macroscopic traffic flow models. The dynamics involved in this problem is described following a close analogy to compressible fluid dynamics. It is well known that vehicle clusters appear along a highway when the homogenous steady state taken as a reference is linearly unstable. The cluster properties are determined in an approximate way in terms of the parameters proper to each model and are compared between them.