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Global strong solutions in $ {\mathbb{R}}^3 $ for ionic Vlasov-Poisson systems

Authors :
Mikaela Iacobelli
Megan Griffin-Pickering
Source :
Kinetic & Related Models, 2021, Vol.14(4), pp.571-597 [Peer Reviewed Journal]
Publication Year :
2021
Publisher :
American Institute of Mathematical Sciences (AIMS), 2021.

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 $\mathbb{R}^3$, under minimal assumptions on the initial data and the confining potential.<br />25 pages; minor changes

Details

ISSN :
19375077
Volume :
14
Database :
OpenAIRE
Journal :
Kinetic & Related Models
Accession number :
edsair.doi.dedup.....86b617bc7026ed8cb47dc5cef42b4441
Full Text :
https://doi.org/10.3934/krm.2021016