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2010, Volume 13, Issue 2: 279-303. Doi: 10.3934/dcdsb.2010.13.279
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Car-following and the macroscopic Aw-Rascle traffic flow model

  • 1.

    Department of Mathematical Sciences, Norwegian University of Science and Technology, NO–7491 Trondheim

Received:  January 31, 2008
Revised:  December 31, 2008
Published:  August 2010
Abstract Related Papers Cited by
    Abstract
  • We consider a semi-discrete car-following model and the macroscopic Aw-Rascle model for traffic flow given in Lagrangian form. The solution of the car-following model converges to a weak entropy solution of the system of hyperbolic balance laws with Cauchy initial data. For the homogeneous system, we allow vacuum in the initial data. By using properties of the semi-discrete model, we show that this solution of the hyperbolic system is stable in the $L^1$-norm.
    Mathematics Subject Classification: 35L45, 35L65, 35L67, 35L80, 90B20.

    Citation:
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