Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model

By Chun-fang Shen, Meina Sun. 2010

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A traffic flow model describing the formation and dynamics of traffic jams was introduced by Berthelin et al., which consists of a constrained pressureless gas dynamics system and can be derived from the Aw-Rascle model under the constraint condition p <= p* by letting the traffic pressure vanish. In this paper, we give up this constraint condition and consider the following form

Subfields: Applied Mathematics, Computational Mechanics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/28617f4ca60392fd376f7589d5387143f6cd16d8