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Pedestrian dynamics: from mathematical modeling to simulations

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If you have a question about this talk, please contact Carola-Bibiane Schoenlieb.

Mathematical modeling of human crowd motion such as high density pedestrian traffic or the evacuation of large buildings is a topic of high practical relevance. The complex behavior of human crowds poses a significant challenge in the modeling and a majority of questions still remains open.

In this talk we present different modeling approaches, starting on the microscopic level and working our way up to the appropriate continuum limits. The resulting macroscopic equations are in general nonlinear partial differential equations or systems thereof. We discuss the challenges in their analysis and numerical simulations and illustrate the behavior of the presented models with computational experiments.

This talk is part of the Applied and Computational Analysis series.

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