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

Griffin-Pickering, Megan; Iacobelli, Mikaela

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: Nov 6, 2018
• Journal: SIAM Journal on Mathematical Analysis
• Print ISSN: 0036-1410
• 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
• Public URL: https://durham-repository.worktribe.com/output/1343724
• Related Public URLs: https://arxiv.org/abs/1711.03081v2