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arXiv · 2007.04605

Modeling of crowds in the regions with moving obstacles via measure sweeping processes

Nadezhda Maltugueva·Nikolay Pogodaev
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Abstract

We present a model of crowd motion in regions with moving obstacles, which is based on the notion of measure sweeping process. The obstacle is modeled by a set-valued map, whose values are complements to r-prox-regular sets. The crowd motion obeys a nonlinear transport equation outside the obstacle and a normal cone condition (similar to that of the classical sweeping processes theory) on the boundary. We prove the well-posedness of the model, give an application to the environment optimization problems, and provide some results of numerical computations.

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Nadezhda Maltugueva, Nikolay Pogodaev. 2020-07-09. Modeling of crowds in the regions with moving obstacles via measure sweeping processes. https://arxiv.org/abs/2007.04605

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