A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries - Archive ouverte HAL
Article Dans Une Revue Mathematical Biosciences and Engineering Année : 2020

A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries

Résumé

This study revises the non-local macroscopic pedestrian flow model proposed in [R. M. Colombo, M. Garavello, and M. Lécureux-Mercier. A class of nonlocal models for pedestrian tra c. Math. Models Methods Appl. Sci., 22(4):1150023, 34, 2012] to account for anisotropic interactions and the presence of walls or other obstacles in the walking domain. We prove the well-posedness of this extended model and we apply high-resolution numerical schemes to illustrate the model characteristics. In particular, numerical simulations highlight the role of different model parameters in the observed pattern formation.
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Dates et versions

hal-02720191 , version 1 (01-06-2020)

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  • HAL Id : hal-02720191 , version 1

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Raimund Bürger, Paola Goatin, Daniel Inzunza, Luis Miguel Villada. A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries. Mathematical Biosciences and Engineering, 2020, 17 (5), pp.5883-5906. ⟨hal-02720191⟩
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