Stability estimates for nonlocal balance laws arising in traffic modelling
This paper focuses on the proof of the stability of entropy weak solutions of a nonlocal balance law modeling 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 L1-dependence of the soluti...
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| creator | Chiarello, Felisia Angela Contreras, Harold Deivi |
| description | This paper focuses on the proof of the stability of entropy weak solutions of
a nonlocal balance law modeling 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 L1-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 in order to
perform an optimization problem in traffic flow with on-ramps. |
| doi_str_mv | 10.48550/arxiv.2301.08576 |
| format | Article |
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a nonlocal balance law modeling 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 L1-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 in order to
perform an optimization problem in traffic flow with on-ramps.</description><identifier>DOI: 10.48550/arxiv.2301.08576</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs</subject><creationdate>2023-01</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2301.08576$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2301.08576$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Chiarello, Felisia Angela</creatorcontrib><creatorcontrib>Contreras, Harold Deivi</creatorcontrib><title>Stability estimates for nonlocal balance laws arising in traffic modelling</title><description>This paper focuses on the proof of the stability of entropy weak solutions of
a nonlocal balance law modeling 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 L1-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 in order to
perform an optimization problem in traffic flow with on-ramps.</description><subject>Mathematics - Analysis of PDEs</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj7tKBDEYRtNYyOoDWJkXmDGXyZ9YyuKVBQu3H_7cJJDNSBLUfXvH1eqDU3ycQ8gVZ-NklGI3WL_T5ygk4yMzSsM5eXnraFNO_UhD6-mAPTQal0rLUvLiMFOLGYsLNONXo1hTS-WdpkJ7xRiTo4fFh5xXeEHOIuYWLv93Q_YP9_vt07B7fXze3u0GBA2DRfQCmJVK-iD9xLgAHxxMQilAGWwUcfWTjhshbhlTIWpgXhlQoI3mckOu_25PMfNHXaXrcf6Nmk9R8geT00ce</recordid><startdate>20230120</startdate><enddate>20230120</enddate><creator>Chiarello, Felisia Angela</creator><creator>Contreras, Harold Deivi</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20230120</creationdate><title>Stability estimates for nonlocal balance laws arising in traffic modelling</title><author>Chiarello, Felisia Angela ; Contreras, Harold Deivi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a676-baad260b353de3d40126dec642556a3ebf2f3013c18229005ef760d5865678713</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Analysis of PDEs</topic><toplevel>online_resources</toplevel><creatorcontrib>Chiarello, Felisia Angela</creatorcontrib><creatorcontrib>Contreras, Harold Deivi</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Chiarello, Felisia Angela</au><au>Contreras, Harold Deivi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stability estimates for nonlocal balance laws arising in traffic modelling</atitle><date>2023-01-20</date><risdate>2023</risdate><abstract>This paper focuses on the proof of the stability of entropy weak solutions of
a nonlocal balance law modeling 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 L1-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 in order to
perform an optimization problem in traffic flow with on-ramps.</abstract><doi>10.48550/arxiv.2301.08576</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs |
| title | Stability estimates for nonlocal balance laws arising in traffic modelling |
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