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Stability Estimates for Nonlocal Balance Laws Arising in Traffic Modelling
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| DOI | 10.1007/978-3-031-55264-9_26 | ||||
| Año | 2024 | ||||
| Tipo | proceedings paper |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
This paper focuses on the proof of the stability of entropy weak solutions of a nonlocal balance law modelling vehicular traffic flow on a road with on- and off-ramps. The stability is obtained with respect to a kernel function in the source term. We get an estimate of the L-1-dependence of the solution with respect to the initial datum, the on-ramp rate, the off-ramp rate and the mentioned kernel function. We also show numerical experiments to illustrate an optimization problem in traffic flow with on-ramps.
| WOS |
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| Sin Disciplinas |
| Scopus |
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| Industrial And Manufacturing Engineering |
| Applied Mathematics |
| Physics And Astronomy (Miscellaneous) |
| Fluid Flow And Transfer Processes |
| Computational Mathematics |
| Agricultural And Biological Sciences (Miscellaneous) |
| Numerical Analysis |
| Computational Mechanics |
| SciELO |
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| Sin Disciplinas |
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Chiarello, Felisia A. | - |
Univ Aquila - Italia
Università degli Studi dell'Aquila - Italia |
| 2 | Contreras, Harold D. | - |
San Sebastian Univ - Chile
Universidad San Sebastián - Chile |
| 3 | Pares, C | - | |
| 4 | Castro, MJ | - | |
| 5 | DeLuna, TM | - | |
| 6 | Munoz-Ruiz, ML | - |
| Fuente |
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| Ministero dell’Istruzione, dell’Università e della Ricerca |
| Anillo Project |
| Istituto Nazionale di Alta Matematica "Francesco Severi" |
| INRIA Associated Team |
| Institut national de recherche en informatique et en automatique (INRIA) |
| Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni |
| National Agency for Research and Development |
| ANID-Chile |
| Agenția Națională pentru Cercetare și Dezvoltare |
| Ministry of University and Research (MUR), Italy |
| ANID-Chile through Scholarship Program |
| Agradecimiento |
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| FAC is member of GNAMPA of the Istituto Nazionale di Alta Matematica (INdAM). FAC was partially supported by the Ministry of University and Research (MUR), Italy under the grant PRIN 2020-Project N. 20204NT8W4, Nonlinear evolution PDEs, fluid dynamics and transport equations: theoretical foundations and applications. HDC is supported by the INRIA Associated Team "Efficient numerical schemes for non-local transport phenomena" (NOLOCO; 2018-2020). HDC was partially supported by the National Agency for Research and Development, ANID-Chile through Scholarship Program, Doctorado Becas Chile 2021, 21210826 and by Anillo project ACT210030. The authors would like to thank Luis Miguel Villada for helpful discussions about this work. |
| FAC is member of GNAMPA of the Istituto Nazionale di Alta Matematica (INdAM). FAC was partially supported by the Ministry of University and Research (MUR), Italy under the grant PRIN 2020-Project N. 20204NT8W4, Nonlinear evolution PDEs, fluid dynamics and transport equations: theoretical foundations and applications. HDC is supported by the INRIA Associated Team \u201CEfficient numerical schemes for non-local transport phenomena\u201D (NOLOCO; 2018\u20132020). HDC was partially supported by the National Agency for Research and Development, ANID-Chile through Scholarship Program, Doctorado Becas Chile 2021, 21210826 and by Anillo project ACT210030. The authors would like to thank Luis Miguel Villada for helpful discussions about this work. |
| Acknowledgements FAC is member of GNAMPA of the Istituto Nazionale di Alta Matematica (INdAM). FAC was partially supported by the Ministry of University and Research (MUR), Italy under the grant PRIN 2020-Project N. 20204NT8W4, Nonlinear evolution PDEs, fluid dynamics and transport equations: theoretical foundations and applications. HDC is supported by the INRIA Associated Team \u201CEfficient numerical schemes for non-local transport phenomena\u201D (NOLOCO; 2018\u20132020). HDC was partially supported by the National Agency for Research and Development, ANID-Chile through Scholarship Program, Doctorado Becas Chile 2021, 21210826 and by Anillo project ACT210030. The authors would like to thank Luis Miguel Villada for helpful discussions about this work. |
