On the initial value problem for a class of discrete velocity models
In this paper we investigate the initial value problem for a class of hyperbolic systems relating the mathematical modeling of a class of complex phenomena, with emphasis on vehicular traffic flow. Existence and uniqueness for large times of solutions, a basic requisite both for models building and...
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| Format: | Article |
| Language: | English |
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AIMS Press
2017-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2017003 |
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| _version_ | 1832590089557901312 |
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| author | Davide Bellandi |
| author_facet | Davide Bellandi |
| author_sort | Davide Bellandi |
| collection | DOAJ |
| description | In this paper we investigate the initial value problem for a class of hyperbolic systems relating the mathematical modeling of a class of complex phenomena, with emphasis on vehicular traffic flow. Existence and uniqueness for large times of solutions, a basic requisite both for models building and for their numerical implementation, are obtained under weak hypotheses on the terms modeling the interaction among agents. The results are then compared with the existing literature on the subject. |
| format | Article |
| id | doaj-art-f156ad08a9354ca099dadc2606f0309d |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-f156ad08a9354ca099dadc2606f0309d2025-01-24T02:39:31ZengAIMS PressMathematical Biosciences and Engineering1551-00182017-01-01141314310.3934/mbe.2017003On the initial value problem for a class of discrete velocity modelsDavide Bellandi0University of Ferrara, Department of Mathematics and Computer Science, Via Machiavelli 35,44121 Ferrara, ItalyIn this paper we investigate the initial value problem for a class of hyperbolic systems relating the mathematical modeling of a class of complex phenomena, with emphasis on vehicular traffic flow. Existence and uniqueness for large times of solutions, a basic requisite both for models building and for their numerical implementation, are obtained under weak hypotheses on the terms modeling the interaction among agents. The results are then compared with the existing literature on the subject.https://www.aimspress.com/article/doi/10.3934/mbe.2017003complex systemsvehicular traffickinetic modelsdiscrete velocityglobal well posedness |
| spellingShingle | Davide Bellandi On the initial value problem for a class of discrete velocity models Mathematical Biosciences and Engineering complex systems vehicular traffic kinetic models discrete velocity global well posedness |
| title | On the initial value problem for a class of discrete velocity models |
| title_full | On the initial value problem for a class of discrete velocity models |
| title_fullStr | On the initial value problem for a class of discrete velocity models |
| title_full_unstemmed | On the initial value problem for a class of discrete velocity models |
| title_short | On the initial value problem for a class of discrete velocity models |
| title_sort | on the initial value problem for a class of discrete velocity models |
| topic | complex systems vehicular traffic kinetic models discrete velocity global well posedness |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2017003 |
| work_keys_str_mv | AT davidebellandi ontheinitialvalueproblemforaclassofdiscretevelocitymodels |