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Clusters in Macroscopic Traffic Flow Models

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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.

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R. Velasco and P. Saavedra, "Clusters in Macroscopic Traffic Flow Models,"

*World Journal of Mechanics*, Vol. 2 No. 1, 2012, pp. 51-60. doi: 10.4236/wjm.2012.21007.

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