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Interaction of road networks and pedestrian motion at crosswalks

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  • In the present paper we discuss the coupling of traffic flow with pedestrian motion. First we review the coupling of the Lighthill-Whitham model for road traffic and the Hughes pedestrian model as presented in [5]. In different numerical examples we investigate the mutual interaction of both dynamics. A special focus is given on the possible placement of crosswalks to facilitate the passage for the pedestrians over a crowded street.
    Mathematics Subject Classification: Primary: 58J45, 35L65; Secondary: 35R05, 65M99.

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