Global strong solutions in R3 for ionic Vlasov-Poisson systems

Griffin-Pickering, Megan; Iacobelli, Mikaela

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.

Citation

Griffin-Pickering, M., & Iacobelli, M. (2021). Global strong solutions in R3 for ionic Vlasov-Poisson systems. Kinetic and Related Models, 14(4), 571-597. https://doi.org/10.3934/krm.2021016

• Journal Article Type: Article
• Acceptance Date: Mar 29, 2021
• Online Publication Date: May 25, 2021
• Publication Date: 2021-08
• Deposit Date: May 26, 2021
• Publicly Available Date: May 25, 2022
• Journal: Kinetic & Related Models
• Print ISSN: 1937-5093
• Electronic ISSN: 1937-5077
• Publisher: American Institute of Mathematical Sciences (AIMS)
• Peer Reviewed: Peer Reviewed
• Volume: 14
• Issue: 4
• Pages: 571-597
• DOI: https://doi.org/10.3934/krm.2021016
• Public URL: https://durham-repository.worktribe.com/output/1242013