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

Griffin-Pickering, M; Iacobelli, M

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

Accepted version

Peer-reviewed

Repository URI

https://www.repository.cam.ac.uk/handle/1810/286186

Repository DOI

https://doi.org/10.17863/CAM.33498

Files

Accepted version (535.34 KB)

Type

Article

Authors

Griffin-Pickering, Megan

https://orcid.org/0000-0001-6463-6671

Iacobelli, M

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.

Keywords

Vlasov-Poisson equation, mean field limit, quasi-neutral limit

Journal Title

SIAM Journal on Mathematical Analysis

Journal ISSN

0036-1410
1095-7154

Volume Title

50

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Publisher DOI

https://doi.org/10.1137/17M1156277

Rights

http://www.rioxx.net/licenses/all-rights-reserved

Sponsorship

EPSRC (1650484)
Engineering and Physical Sciences Research Council (EP/L016516/1)

Collections

Cambridge University Research Outputs