system.
ABSTRACT: In a recent paper [1] Aw and Rascle
introduced a new model of traffic on a uni-directional highway. Here
the author studies an extension of this model, one which accounts for
drivers attempting to travel at their maximum allowable speed. The
author looks at a Lagrangian reformulation of this problem; a
formulation that leads to an effective computational algorithm for
solving the resulting system. He also investigates approximation
scheme introduced by Dafermos [5] for scalar conservation laws and
demonstrates that this Dafermos scheme works well on this
system.
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