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- W2046132425 abstract "We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the transported quantity in the neighboring cells. A motivation is pedestrian dynamics during panic situations in a small corridor where the propagation of people in a part of the corridor can be either left- or right-going. Under the assumptions of propagation of chaos and mean-field limit, we derive a master equation and the corresponding mean-field kinetic and macroscopic models. Steady-states are computed and analyzed and exhibit the possibility of multiple metastable states and hysteresis." @default.
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- W2046132425 date "2014-01-01" @default.
- W2046132425 modified "2023-09-26" @default.
- W2046132425 title "Flow on Sweeping Networks" @default.
- W2046132425 doi "https://doi.org/10.1137/130927061" @default.
- W2046132425 hasPublicationYear "2014" @default.
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