Relaxation Limit for Aw-Rascle System

Authors

  • Richard A. De La Cruzguerrero Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá D. C., Colombia
  • Juan C. Juajibioy Departamento de Ciencias Naturales Y Exáctas, Fundación Universidad Autonoma de Colombia, Bogotá
  • Leonardo Rendón Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá D. C., Colombia

DOI:

https://doi.org/10.4208/jpde.v27.n2.7

Keywords:

Aw-Rascle system;relaxation term;compensated compactness;invariant regions

Abstract

We study the relaxation limit for the Aw-Rascle system of traffic flow. For thiswe apply the theory of invariant regions and the compensated compactnessmethod to get global existence of Cauchy problem for a particular Aw-Rascle system with source, where the source is the relaxation term, and we show the convergence of this solutions to the equilibrium state.

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Published

2014-06-10

Issue

Vol. 27 No. 2 (2014)

Section

Articles

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