Geodesic
Un Modèle de Mouvements de Foule
Bertrand MAURY1 ; Juliette VENEL1
1Laboratoire de Mathématiques, Université Paris XI, Orsay,
ESAIM. Proceedings, Tome 18 (2007), pp. 143-152
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We propose a deterministic model for crowd motion, based on a Lagrangian approach: each person is taken into account individually. We are especially interested in the modelling of evacuation: people are willing to exit a room with obstacles. The model takes the form of an evolution equation which involves a multivalued operator, which is not in general maximal monotone. Using recent results on the sweeping process, we establish the well-posedness of this problem under reasonable assumptions. We propose a numerical scheme, which we apply to two realistic situations.

DOI : 10.1051/proc:071812

Bertrand MAURY  1   ; Juliette VENEL  1

1 Laboratoire de Mathématiques, Université Paris XI, Orsay, 
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Bertrand MAURY; Juliette VENEL. Un Modèle de Mouvements de Foule. ESAIM. Proceedings, Tome 18 (2007), pp. 143-152. doi: 10.1051/proc:071812

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