Dataciencia

Colección SciELO Chile

NONLOCAL REACTION TRAFFIC FLOW MODEL WITH ON-OFF RAMPS

Indexado

WoS	WOS:000758160600001
Scopus	SCOPUS_ID:85129224806

DOI

10.3934/NHM.2022003

Año

2022

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

We present a non-local version of a scalar balance law modeling traffic flow with on-ramps and off-ramps. The source term is used to describe the inflow and output flow over the on-ramp and off-ramps respectively. We approximate the problem using an upwind-type numerical scheme and we provide L infinity and BV estimates for the sequence of approximate solutions. Together with a discrete entropy inequality, we also show the well-posedness of the considered class of scalar balance laws. Some numerical simulations illustrate the behaviour of solutions in sample cases.

Revista

Revista	ISSN
Networks And Heterogeneous Media	1556-1801

Métricas Externas

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Disciplinas de Investigación

WOS
Mathematics, Interdisciplinary Applications

Scopus
Computer Science Applications
Engineering (All)
Statistics And Probability
Applied Mathematics

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	Chiarello, Felisia Angela	-	Politecn Torino - Italia Politecnico di Torino - Italia
2	Contreras, H. D.	Hombre	Universidad del Bío Bío - Chile
2	Contreras, Harold Deivi	Hombre	Universidad del Bío Bío - Chile
3	VILLADA-OSORIO, LUIS MIGUEL	Hombre	Universidad del Bío Bío - Chile Universidad de Concepción - Chile

Muestra la afiliación y género (detectado) para los co-autores de la publicación.

Financiamiento

Fuente
Fondo Nacional de Desarrollo Científico y Tecnológico
Istituto Nazionale di Alta Matematica "Francesco Severi"
Centro de Modelamiento Matematico (CMM)
Institut national de recherche en informatique et en automatique (INRIA)
National Agency for Research and Development
ANID-Chile
ANID-Chile through Fondecyt Project
Gruppo Nazionale per la Fisica Matematica
Centro de Modelamiento Matem?tico
INRIA Associated Team "Efficient numerical schemes for non-lo cal transport phenomena" (NOLOCO; 2018-2020)
BASAL funds for center of excellence from ANID-Chile

Muestra la fuente de financiamiento declarada en la publicación.

Agradecimientos

Agradecimiento
FAC is member of GNFM (Gruppo Nazionale per la Fisica Matematica) of INdAM (Istituto Nazionale di Alta Matematica) , Italy. LMV is supported by ANID-Chile through Fondecyt project 1181511 and by Centro de Modelamiento Matematico (CMM) , ACE210010 and FB210005, BASAL funds for center of excellence from ANID-Chile. FAC, HDC and LMV are supported by the INRIA Associated Team "Efficient numerical schemes for non-lo cal transport phenomena" (NOLOCO; 2018-2020) and by project MATH-Amsud 22-MATH-05
FAC is member of GNFM (Gruppo Nazionale per la Fisica Matematica) of INdAM (Istituto Nazionale di Alta Matematica), Italy. LMV is supported by ANID-Chile through Fondecyt project 1181511 and by Centro de Modelamiento Matem?tico (CMM), ACE210010 and FB210005, BASAL funds for center of excellence from ANID-Chile. FAC, HDC and LMV are supported by the INRIA Associated Team ?Efficient numerical schemes for non-local transport phenomena? (NOLOCO; 2018?2020) and by project MATH-Amsud 22-MATH-05 ?NOTION: NOn-local conservaTION laws for engineering, biological and epidemi-ological applications: theoretical and numerical?. HDC was partially supported by the National Agency for Research and Development, ANID-Chile through Scholar-ship Program, Doctorado Becas Chile 2021, 21210826.

Agradecimiento

FAC is member of GNFM (Gruppo Nazionale per la Fisica Matematica) of INdAM (Istituto Nazionale di Alta Matematica), Italy. LMV is supported by ANID-Chile through Fondecyt project 1181511 and by Centro de Modelamiento Matem?tico (CMM), ACE210010 and FB210005, BASAL funds for center of excellence from ANID-Chile. FAC, HDC and LMV are supported by the INRIA Associated Team ?Efficient numerical schemes for non-local transport phenomena? (NOLOCO; 2018?2020) and by project MATH-Amsud 22-MATH-05 ?NOTION: NOn-local conservaTION laws for engineering, biological and epidemi-ological applications: theoretical and numerical?. HDC was partially supported by the National Agency for Research and Development, ANID-Chile through Scholar-ship Program, Doctorado Becas Chile 2021, 21210826.