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Existence results for Hughes' model for pedestrian flows

Debora Amadori 1 Paola Goatin 2 Massimiliano D. Rosini 3 
1 DISIM - Department of Information Engineering, Computer Science and Mathematics = Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica [L'Aquila]
2 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
3 ICM
Abstract : In this paper we prove two global existence results for Hughes' model for pedestrian flows under assumptions that ensure that the traces of the solutions along the turning curve are zero for any positive times.
Keywords : eikonal equation conservation laws crowd dynamics Hughes' model for pedestrian flows
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Submitted on : Friday, March 21, 2014 - 2:00:34 PM
Last modification on : Sunday, June 26, 2022 - 1:17:05 PM
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Debora Amadori, Paola Goatin, Massimiliano D. Rosini. Existence results for Hughes' model for pedestrian flows. Journal of Mathematical Analysis and Applications, Elsevier, 2014, 420 (1), pp.387-406. ⟨hal-00872851v2⟩

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