Abstract
This chapter deals with models of living complex systems, chiefly human crowds, by methods of conservation laws and measure theory. We introduce a modeling framework which enables one to address both discrete and continuous dynamical systems in a unified manner using common phenomenological ideas and mathematical tools as well as to couple these two descriptions in a multiscale perspective. Furthermore, we present a basic theory of well-posedness and numerical approximation of initial-value problems and we discuss its implications on mathematical modeling.
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Tosin, A. (2014). Multiscale Crowd Dynamics Modeling and Theory. In: Muntean, A., Toschi, F. (eds) Collective Dynamics from Bacteria to Crowds. CISM International Centre for Mechanical Sciences, vol 553. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1785-9_6
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DOI: https://doi.org/10.1007/978-3-7091-1785-9_6
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-1784-2
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