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A mean field approach to the quasineutral limit for the Vlasov-Poisson equation

Griffin-Pickering, Megan; Iacobelli, Mikaela

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Authors

Megan Griffin-Pickering

Mikaela Iacobelli



Abstract

This paper concerns the derivation of the Kinetic Isothermal Euler system in dimension d≥1 from an N-particle system of extended charges with Coulomb interaction. This requires a combined mean field and quasineutral limit for a regularized N-particle system.

Citation

Griffin-Pickering, M., & Iacobelli, M. (2018). A mean field approach to the quasineutral limit for the Vlasov-Poisson equation. SIAM Journal on Mathematical Analysis, 50(5), 5502-5536. https://doi.org/10.1137/17m1156277

Journal Article Type Article
Acceptance Date Aug 6, 2018
Online Publication Date Oct 16, 2018
Publication Date Oct 16, 2018
Deposit Date Nov 5, 2018
Publicly Available Date Mar 29, 2024
Journal SIAM Journal on Mathematical Analysis
Print ISSN 0036-1410
Electronic ISSN 1095-7154
Publisher Society for Industrial and Applied Mathematics
Peer Reviewed Peer Reviewed
Volume 50
Issue 5
Pages 5502-5536
DOI https://doi.org/10.1137/17m1156277
Related Public URLs https://arxiv.org/abs/1711.03081v2

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Accepted Journal Article (447 Kb)
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Copyright Statement
© 2018, Society for Industrial and Applied Mathematics





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