Discrete moments models for Vlasov equations with non constant strong magnetic limit
We describe the structure of an original application of the method of moments to the Vlasov–Poisson system with non constant strong magnetic field in three dimensions of space. Using basis functions which are aligned with the magnetic field, one obtains a Friedrichs system where the kernel of the si...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-11-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.219/ |
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| author | Charles, Frédérique Després, Bruno Dai, Ruiyang Hirstoaga, Sever A. |
| author_facet | Charles, Frédérique Després, Bruno Dai, Ruiyang Hirstoaga, Sever A. |
| author_sort | Charles, Frédérique |
| collection | DOAJ |
| description | We describe the structure of an original application of the method of moments to the Vlasov–Poisson system with non constant strong magnetic field in three dimensions of space. Using basis functions which are aligned with the magnetic field, one obtains a Friedrichs system where the kernel of the singular part is made explicit. A projection of the original model on this kernel yields what we call the reduced model. Basic numerical tests of the field illustrate the accuracy of our implementation. A new generating formula for Laguerre polynomials is obtained in the appendix as a byproduct of the analysis. |
| format | Article |
| id | doaj-art-0f95e887ca1c4cd98fea078431d11003 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-0f95e887ca1c4cd98fea078431d110032025-02-07T13:46:20ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-11-01351S130732910.5802/crmeca.21910.5802/crmeca.219Discrete moments models for Vlasov equations with non constant strong magnetic limitCharles, Frédérique0Després, Bruno1Dai, Ruiyang2Hirstoaga, Sever A.3Laboratoire Jacques-Louis Lions (LJLL), Sorbonne-Université, CNRS, Université de Paris, 75005, Paris, FranceLaboratoire Jacques-Louis Lions (LJLL), Sorbonne-Université, CNRS, Université de Paris, 75005, Paris, FranceLaboratoire Jacques-Louis Lions (LJLL), Sorbonne-Université, CNRS, Université de Paris, 75005, Paris, Franceproject-team ALPINES, Sorbonne Université and Université de Paris, CNRS, Laboratoire Jacques-Louis Lions (LJLL), 75589 Paris Cedex 12, FranceWe describe the structure of an original application of the method of moments to the Vlasov–Poisson system with non constant strong magnetic field in three dimensions of space. Using basis functions which are aligned with the magnetic field, one obtains a Friedrichs system where the kernel of the singular part is made explicit. A projection of the original model on this kernel yields what we call the reduced model. Basic numerical tests of the field illustrate the accuracy of our implementation. A new generating formula for Laguerre polynomials is obtained in the appendix as a byproduct of the analysis.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.219/moment methodVlaslov equationsnumerical method |
| spellingShingle | Charles, Frédérique Després, Bruno Dai, Ruiyang Hirstoaga, Sever A. Discrete moments models for Vlasov equations with non constant strong magnetic limit Comptes Rendus. Mécanique moment method Vlaslov equations numerical method |
| title | Discrete moments models for Vlasov equations with non constant strong magnetic limit |
| title_full | Discrete moments models for Vlasov equations with non constant strong magnetic limit |
| title_fullStr | Discrete moments models for Vlasov equations with non constant strong magnetic limit |
| title_full_unstemmed | Discrete moments models for Vlasov equations with non constant strong magnetic limit |
| title_short | Discrete moments models for Vlasov equations with non constant strong magnetic limit |
| title_sort | discrete moments models for vlasov equations with non constant strong magnetic limit |
| topic | moment method Vlaslov equations numerical method |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.219/ |
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