Abstract
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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
