Research Seminar in Mathematics
20 April 2016 15:15 T129, Teknikhuset
Recent advances in the modelling, analysis and simulation of human crowds or How do I escape from a crowded shopping mall?
Speaker
Professor Adrian Muntean from Karlstad University.
Summary
I will introduce the audience to a couple of fundamental questions concerning the modelling, analysis, and numerical forecasting of the motion of pedestrian flows. The main modelling ingredients include measure-valued equations and their particle systems approximation as well as a bit of multi-scale modelling. After showing the audience how basic social behaviours can be modelled (like friendship, hate, etc.), the talk will focus on a two-dimensional lattice model describing how people move in dark (or in smoky regions). If time allows, I will model also levels of trust and cooperation thresholds, and then, I will explore numerically to which extent these features can lead to improved evacuation fluxes (i.e. minimal residence times of particles inside the chosen crowded geometries).