Year: 2014
Author: Leonardo Rendón, Richard A. De La Cruzguerrero, Juan C. Juajibioy, Leonardo Rendón
Journal of Partial Differential Equations, Vol. 27 (2014), Iss. 2 : pp. 166–175
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v27.n2.7
Journal of Partial Differential Equations, Vol. 27 (2014), Iss. 2 : pp. 166–175
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Aw-Rascle system