TY - JOUR
T1 - Relaxation Limit for Aw-Rascle System
AU - De La Cruzguerrero , Richard A.
AU - Juajibioy , Juan C.
AU - Rendón , Leonardo
JO - Journal of Partial Differential Equations
VL - 2
SP - 166
EP - 175
PY - 2014
DA - 2014/06
SN - 27
DO - http://doi.org/10.4208/jpde.v27.n2.7
UR - https://global-sci.org/intro/article_detail/jpde/5134.html
KW - Aw-Rascle system
KW - relaxation term
KW - compensated compactness
KW - invariant regions
AB -  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.