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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Multiscale Crowd Dynamics Modeling and Theory
verfasst von : Andrea Tosin
Erschienen in: Collective Dynamics from Bacteria to Crowds
Verlag: Springer Vienna
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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.