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

Griffin-Pickering, Megan and Iacobelli, Mikaela (2018) 'A mean field approach to the quasineutral limit for the Vlasov-Poisson equation.', SIAM journal on mathematical analysis., 50 (5). pp. 5502-5536.

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1137/17m1156277
Publisher statement:© 2018, Society for Industrial and Applied Mathematics
Date accepted:06 August 2018
Date deposited:06 November 2018
Date of first online publication:16 October 2018
Date first made open access:06 November 2018

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