A. Aw, A. Klar, T. Materne and M. Rascle, “Derivation of Continuum Traffic Flow Models from Microscopic Follow the Leader Models,” SIAM Journal of Applied Mathematics, Vol. 63, No. 1, 2002, pp. 259-278. doi:10.1137/S0036139900380955

has been cited by the following article:

• 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.