Relaxation Limit for Aw-Rascle System
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
Author Details
Leonardo Rendón Email
Richard A. De La Cruzguerrero Email
Juan C. Juajibioy Email
Leonardo Rendón Email
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Global weak solutions for a 2 × 2 balance non-symmetric system of Keyfitz-Kranzer type / Soluciones débiles globales para un sistema 2x2 balanceado no simétrico de tipo Keyfitz-Kranzer
Juajibioy Otero, Juan Carlos
De La Cruz Guerrero, Richard Alexander
Rendón Arbeláez, Leonardo
Ciencia en Desarrollo, Vol. 8 (2017), Iss. 1 P.29
https://doi.org/10.19053/01217488.v8.n1.2017.4753 [Citations: 2]