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- W3150832351 abstract "<p style='text-indent:20px;'>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 <inline-formula><tex-math id=M1>begin{document}$ r $end{document}</tex-math></inline-formula>-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.</p>" @default.
- W3150832351 created "2021-04-13" @default.
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- W3150832351 date "2021-01-01" @default.
- W3150832351 modified "2023-09-26" @default.
- W3150832351 title "Modeling of crowds in regions with moving obstacles" @default.
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- W3150832351 doi "https://doi.org/10.3934/dcds.2021066" @default.
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