A mathematical framework for a crowd motion model

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{Euclidean, metric, and Wasserstein} gradient flows: an overview (2016, background): “This theory has first been introduced in a microscopic setting (each individual in the crowd being a rigid sphere), but we will not develop this aspect here (the interested reader can refer to the papers by Maury and Venel [69,70]).”
Discontinuous sweeping process with prox-regular sets (2017, methodology): “Recently, Maury and Venel [18] used the perturbed sweeping process involving prox-regular sets for the modeling of crowd motion in the case of emergency evacuation.”
Optimality conditions for a controlled sweeping process with applications to the crowd motion model (2015, methodology): “The crowd motion model of [15, 16, 24] is designed to deal with local interactions between participants in order to describe the dynamics of pedestrian traffic.”
The Pontryagin Maximum Principle in the Wasserstein Space (2017, unknown): “[9, 17, 29, 30]).”