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Modeling of crowds in regions with moving obstacles

Авторы: Maltugueva N., Pogodaev N.

Журнал: Discrete and Continuous Dynamical Systems- Series A

Том: 41

Номер: 14

Год: 2021

Отчётный год: 2021


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Аннотация: 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 environment optimization problems, and provide some results of numerical computations.

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