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Global strong solutions in R3 for ionic Vlasov-Poisson systems

Griffin-Pickering, Megan and Iacobelli, Mikaela (2021) 'Global strong solutions in R3 for ionic Vlasov-Poisson systems.', Kinetic & Related Models, 14 (4). pp. 571-597.

Abstract

Systems of Vlasov-Poisson type are kinetic models describing dilute plasma. The structure of the model differs according to whether it describes the electrons or positively charged ions in the plasma. In contrast to the electron case, where the well-posedness theory for Vlasov-Poisson systems is well established, the well-posedness theory for ion models has been investigated more recently. In this article, we prove global well-posedness for two Vlasov-Poisson systems for ions, posed on the whole three-dimensional Euclidean space R3, under minimal assumptions on the initial data and the confining potential.

Item Type:Article
Full text:Publisher-imposed embargo until 25 May 2022.
(AM) Accepted Manuscript
File format - PDF
(465Kb)
Status:Peer-reviewed
Publisher Web site:https://doi.org/10.3934/krm.2021016
Publisher statement:This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Kinetic & Related Models following peer review. The definitive publisher-authenticated version Griffin-Pickering, Megan & Iacobelli, Mikaela (2021). Global strong solutions in R3 for ionic Vlasov-Poisson systems. Kinetic & Related Models is available online at: https://doi.org/10.3934/krm.2021016
Date accepted:29 March 2021
Date deposited:26 May 2021
Date of first online publication:25 May 2021
Date first made open access:25 May 2022

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