Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/90C153F1-DF79-40F6-BE29-1EFDE2F353B6 | - |
| Identifier | https://doi.org/10.1016/j.cam.2023.115443 | - |
| Identifier | https://www.sciencedirect.com/science/article/pii/S0377042723003874 | - |
| Language | en | - |
| Extent | 27 pages | en |
| Title | A nonlinear heat equation arising from automated-vehicle traffic flow models | en |
| Creator | Theodosis Dionysios | en |
| Creator | Θεοδοσης-Παλιμερης Διονυσιος | el |
| Creator | Karafyllis Iason | en |
| Creator | Καραφυλλης Ιασων | el |
| Creator | Titakis Georgios | en |
| Creator | Τιτακης Γεωργιος | el |
| Creator | Papamichail Ioannis | en |
| Creator | Παπαμιχαηλ Ιωαννης | el |
| Creator | Papageorgiou Markos | en |
| Creator | Παπαγεωργιου Μαρκος | el |
| Publisher | Elsevier | en |
| Description | The research leading to these results has received funding from the European Research Council under the European Union’s Horizon 2020 Research and Innovation programme/ ERC Grant Agreement n. [833915], project TrafficFluid. | en |
| Content Summary | In this paper, a new nonlinear heat equation is studied that arises as a model of the collective behaviour of automated vehicles. The properties of the solutions of this equation are studied by introducing the appropriate notion of a weak solution that requires certain entropy-like conditions. To obtain an approximation of the solution of the nonlinear heat equation, a new conservative first-order finite difference scheme is proposed that respects the corresponding entropy conditions, and certain links between the weak solution and the numerical scheme are provided. Finally, a traffic simulation scenario and a comparison with the Lighthill–Whitham–Richards (LWR) model are provided, illustrating the benefits of the use of automated vehicles. | en |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
| Date of Item | 2024-06-28 | - |
| Date of Publication | 2024 | - |
| Subject | Nonlinear heat equation | en |
| Subject | Macroscopic traffic flow | en |
| Subject | Automated vehicles | en |
| Bibliographic Citation | D. Theodosis, I. Karafyllis, G. Titakis, I. Papamichail and M. Papageorgiou, “A nonlinear heat equation arising from automated-vehicle traffic flow models,” J. Comput. Appl. Math., 2023, doi: 10.1016/j.cam.2023.115443. | en |
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