Moment propagation of a Vlasov-Poisson system for ion flow in the quasi-neutral regime.
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| Title: | Moment propagation of a Vlasov-Poisson system for ion flow in the quasi-neutral regime. |
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| Authors: | Zhang, Zhiwen1,2 (AUTHOR) zwzhang@math.cuhk.edu.hk |
| Source: | Zeitschrift für Angewandte Mathematik und Physik (ZAMP). Jan2026, Vol. 77 Issue 1, p1-17. 17p. |
| Subjects: | Ion flow dynamics, Vlasov equation, Continuous time models, Ionic solutions, Mathematical analysis, Ordinary differential equations |
| Abstract: | In the light of recent work in the global well-posedness of solutions for an ionic Vlasov-Poisson system, as demonstrated by Griffin-Pickering and Iacobelli [1], the current work focuses on the moment propagation of the corresponding system in quasi-neutral regime. Such moment propagation result relies on an estimate of Q ∗ (t) = | V (t ; 0 , x , v) - V (0 ; 0 , x , v) | , where V(s; t, x, v) represents the solution of the characteristic ordinary differential equation associated with the Vlasov-Poisson system. The main goal of this work is to serve the future research on quasi-neutral limit for ionic Vlasov-Poisson system in R 3 . [ABSTRACT FROM AUTHOR] |
| Copyright of Zeitschrift für Angewandte Mathematik und Physik (ZAMP) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 191134792 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Moment propagation of a Vlasov-Poisson system for ion flow in the quasi-neutral regime. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Zhiwen%22">Zhang, Zhiwen</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> zwzhang@math.cuhk.edu.hk</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Zeitschrift+für+Angewandte+Mathematik+und+Physik+%28ZAMP%29%22">Zeitschrift für Angewandte Mathematik und Physik (ZAMP)</searchLink>. Jan2026, Vol. 77 Issue 1, p1-17. 17p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Ion+flow+dynamics%22">Ion flow dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Vlasov+equation%22">Vlasov equation</searchLink><br /><searchLink fieldCode="DE" term="%22Continuous+time+models%22">Continuous time models</searchLink><br /><searchLink fieldCode="DE" term="%22Ionic+solutions%22">Ionic solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Ordinary+differential+equations%22">Ordinary differential equations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In the light of recent work in the global well-posedness of solutions for an ionic Vlasov-Poisson system, as demonstrated by Griffin-Pickering and Iacobelli [1], the current work focuses on the moment propagation of the corresponding system in quasi-neutral regime. Such moment propagation result relies on an estimate of Q ∗ (t) = | V (t ; 0 , x , v) - V (0 ; 0 , x , v) | , where V(s; t, x, v) represents the solution of the characteristic ordinary differential equation associated with the Vlasov-Poisson system. The main goal of this work is to serve the future research on quasi-neutral limit for ionic Vlasov-Poisson system in R 3 . [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Zeitschrift für Angewandte Mathematik und Physik (ZAMP) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00033-025-02679-4 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 17 StartPage: 1 Subjects: – SubjectFull: Ion flow dynamics Type: general – SubjectFull: Vlasov equation Type: general – SubjectFull: Continuous time models Type: general – SubjectFull: Ionic solutions Type: general – SubjectFull: Mathematical analysis Type: general – SubjectFull: Ordinary differential equations Type: general Titles: – TitleFull: Moment propagation of a Vlasov-Poisson system for ion flow in the quasi-neutral regime. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zhang, Zhiwen IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00442275 Numbering: – Type: volume Value: 77 – Type: issue Value: 1 Titles: – TitleFull: Zeitschrift für Angewandte Mathematik und Physik (ZAMP) Type: main |
| ResultId | 1 |
