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Pré-Publication, Document De Travail Année : 2024

A Hyperbolic -Parabolic Framework to Manage Traffic Generated Pollution

Résumé

Vehicular traffic flows through a merge regulated by traffic lights and produces pollutant that diffuses in the surrounding region. This situation motivates a general hyperbolic -parabolic system, whose well-posedness and stability are here proved in L1. Roads are allowed to be also 2–dimensional. The effects of stop & go waves are comprised, leading to measure source terms in the parabolic equation. The traffic lights, as well as inflows and outflows, can be regulated to minimize the presence of pollutant in given regions.
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Dates et versions

hal-04504572 , version 1 (14-03-2024)

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  • HAL Id : hal-04504572 , version 1

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Rinaldo M. Colombo, Paola Goatin, Elena Rossi. A Hyperbolic -Parabolic Framework to Manage Traffic Generated Pollution. 2024. ⟨hal-04504572⟩
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