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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.
https://hal.inria.fr/hal-00872851 Contributor : Paola GoatinConnect in order to contact the contributor Submitted on : Friday, March 21, 2014 - 2:00:34 PM Last modification on : Sunday, June 26, 2022 - 1:17:05 PM Long-term archiving on: : Monday, April 10, 2017 - 2:33:37 AM
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⟩