Time-evolving measures and macroscopic modeling of pedestrian flow

Details Time-evolving measures and macroscopic modeling of pedestrian flow Time-evolving measures and macroscopic modeling of pedestrian flow

2008-11-20

arxiv.org/abs/0811.3383v2

Arch. Ration. Mech. Anal., 199(3):707-738, 2011

Physics

Mathematical Physics

27 pages, 6 figures -- Accepted for publication in Arch. Ration. Mech. Anal., 2010

Scientific paper

10.1007/s00205-010-0366-y

This paper deals with the early results of a new model of pedestrian flow, conceived within a measure-theoretical framework. The modeling approach consists in a discrete-time Eulerian macroscopic representation of the system via a family of measures which, pushed forward by some motion mappings, provide an estimate of the space occupancy by pedestrians at successive time steps. From the modeling point of view, this setting is particularly suitable to treat nonlocal interactions among pedestrians, obstacles, and wall boundary conditions. In addition, analysis and numerical approximation of the resulting mathematical structures, which is the main target of this work, follow more easily and straightforwardly than in case of standard hyperbolic conservation laws, also used in the specialized literature by some Authors to address analogous problems.

Affiliated with

Also associated with

No associations

Rating

Time-evolving measures and macroscopic modeling of pedestrian flow does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Time-evolving measures and macroscopic modeling of pedestrian flow, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time-evolving measures and macroscopic modeling of pedestrian flow will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-669385