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

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Authors
Griffin-Pickering, M
Iacobelli, M
Publication Date
2018
Journal Title
SIAM Journal on Mathematical Analysis
ISSN
0036-1410
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Volume
50
Issue
5
Pages
5502-5536
Type
Article
Metadata
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Citation
Griffin-Pickering, M., & Iacobelli, M. (2018). A mean field approach to the quasi-neutral limit for the Vlasov-Poisson equation. SIAM Journal on Mathematical Analysis, 50 (5), 5502-5536. https://doi.org/10.1137/17M1156277
Abstract
This paper concerns the derivation of the Kinetic Isothermal Euler system in dimension $d \geq 1$ 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.
Keywords
Vlasov-Poisson equation, mean field limit, quasi-neutral limit
Sponsorship
EPSRC (1650484)
Engineering and Physical Sciences Research Council (EP/L016516/1)
Identifiers
External DOI: https://doi.org/10.1137/17M1156277
This record's URL: https://www.repository.cam.ac.uk/handle/1810/286186
Rights
Licence:
http://www.rioxx.net/licenses/all-rights-reserved
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