Article citationsMore>>

Greenberg, J.M. (2001) Extensions and Amplifications of a Traffic Model of Aw and Rascle. SIAM Journal on Applied Mathematics, 62, 729-745.
https://doi.org/10.1137/S0036139900378657

has been cited by the following article:

• TITLE: Wave Interactions of the Aw-Rascle Model for Generalized Chaplygin Gas

  AUTHORS: Yujin Liu

  KEYWORDS: Wave Interaction, Aw-Rascle Model, Generalized Chaplygin Gas, Riemann Problem, Delta Shock, Hyperbolic Conservation Laws

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.2, February 26, 2021

  ABSTRACT: In this paper, we investigate the elementary wave interactions of the Aw-Rascle model for the generalized Chaplygin gas. We construct the unique solution by the characteristic analysis method and obtain the stability of the corresponding Riemann solutions under such small perturbations on the initial values. We find that the elementary wave interactions have a much more simple structure for Temple class than general systems of conservation laws. It is important to study the elementary waves interactions of the traffic flow system for the generalized Chaplygin gas not only because of their significance in practical applications in the traffic flow system, but also because of their basic role for the general mathematical theory.