Open AccessGlobal strong solutions in $ {\mathbb{R}}^3 $ for ionic Vlasov-Poisson systems
Author(s) -
Megan Griffin-Pickering,
Mikaela Iacobelli
Publication year - 2021
Publication title -
kinetic and related models
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.987
H-Index - 28
eISSN - 1937-5093
pISSN - 1937-5077
DOI - 10.3934/krm.2021016
Subject(s) - euclidean space , physics , ion , plasma , poisson distribution , electron , vlasov equation , space (punctuation) , poisson's equation , mathematical physics , ionic bonding , mathematics , statistical physics , mathematical analysis , quantum mechanics , computer science , statistics , operating system
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 \begin{document}$ \mathbb{R}^3 $\end{document} , under minimal assumptions on the initial data and the confining potential.