2011, Vol.14, No.1, pp.27-37
We present a micro-macro strategy able to describe the dynamics
of crowds in heterogeneous spatial domains. Herein we focus on the
example of pedestrian counterflow. The main working tools include
the use of mass and porosity measures together with their
transport as well as suitable application of a version of
Radon-Nikodym Theorem formulated for finite measures. Finally, we
illustrate numerically our microscopic model and emphasize the
effects produced by an implicitly defined social velocity.
Key words:
Crowd dynamics; mass measures; porosity measure; social
networks
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