Publicación:
EXISTENCE OF ENTROPY WEAK SOLUTIONS FOR 1D NON-LOCAL TRAFFIC MODELS WITH SPACE-DISCONTINUOUS FLUX

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dc.creatorLUIS MIGUEL VILLADA OSORIO
dc.date2023
dc.date.accessioned2025-01-10T15:41:53Z
dc.date.available2025-01-10T15:41:53Z
dc.date.issued2023
dc.description.abstractWE STUDY A 1D SCALAR CONSERVATION LAW WHOSE NON-LOCAL FLUX HAS A SINGLE SPATIAL DISCONTINUITY. THIS MODEL IS INTENDED TO DESCRIBE TRAFFIC FLOW ON A ROAD WITH ROUGH CONDITIONS. WE APPROXIMATE THE PROBLEM THROUGH AN UPWIND-TYPE NUMERICAL SCHEME AND PROVIDE COMPACTNESS ESTIMATES FOR THE SEQUENCE OF APPROXIMATE SOLUTIONS. THEN, WE PROVE THE EXISTENCE AND THE UNIQUENESS OF ENTROPY WEAK SOLUTIONS. NUMERICAL SIMULATIONS CORROBORATE THE THEORETICAL RESULTS AND THE LIMIT MODEL AS THE KERNEL SUPPORT TENDS TO ZERO IS NUMERICALLY INVESTIGATED.
dc.formatapplication/pdf
dc.identifier.doihttps://doi.org/10.1007/s10665-023-10284-5
dc.identifier.issn1573-2703
dc.identifier.issn0022-0833
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13238
dc.languagespa
dc.publisherJOURNAL OF ENGINEERING MATHEMATICS
dc.relation.urihttps://doi.org/10.1007/s10665-023-10284-5
dc.rightsPUBLICADA
dc.subjectNumerical scheme · Traffic models
dc.subjectNon-local problem
dc.subjectDiscontinuous flux
dc.subjectConservation laws
dc.titleEXISTENCE OF ENTROPY WEAK SOLUTIONS FOR 1D NON-LOCAL TRAFFIC MODELS WITH SPACE-DISCONTINUOUS FLUX
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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