On the continuum limit of the Follow-the-Leader model and its stability
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913269602582528 |
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| author | Ancona, Fabio Bentaibi, Mohamed Rossi, Francesco |
| author_facet | Ancona, Fabio Bentaibi, Mohamed Rossi, Francesco |
| contents | We consider the Follow-the-Leader (FtL) model and study which properties of the initial positioning of the vehicles ensure its convergence to the classical Lighthill-Whitham-Richards (LWR) model for traffic flow. Robustness properties of both FtL and LWR models with respect to the initial discretization schemes are investigated. Some numerical simulations are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11526 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the continuum limit of the Follow-the-Leader model and its stability Ancona, Fabio Bentaibi, Mohamed Rossi, Francesco Classical Analysis and ODEs Analysis of PDEs We consider the Follow-the-Leader (FtL) model and study which properties of the initial positioning of the vehicles ensure its convergence to the classical Lighthill-Whitham-Richards (LWR) model for traffic flow. Robustness properties of both FtL and LWR models with respect to the initial discretization schemes are investigated. Some numerical simulations are also discussed. |
| title | On the continuum limit of the Follow-the-Leader model and its stability |
| topic | Classical Analysis and ODEs Analysis of PDEs |
| url | https://arxiv.org/abs/2403.11526 |