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

Griffin-Pickering, Megan; Iacobelli, M

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Authors

Griffin-Pickering, Megan

Iacobelli, M

Publication Date

2018-01-01

Journal Title

SIAM Journal on Mathematical Analysis

ISSN

0036-1410

Volume

Issue

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 > 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.

Sponsorship

EPSRC (1650484)

EPSRC (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

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