Relaxation Limit for Aw-Rascle System

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.

Publication
Journal of Partial Differential Equations, 27(2), 166-175. doi:10.4208/jpde.v27.n2.7

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