English

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

Analysis of PDEs 2021-05-27 v3 Mathematical Physics math.MP

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\mathbb{R}^3, under minimal assumptions on the initial data and the confining potential.

Keywords

Cite

@article{arxiv.2006.14898,
  title  = {Global strong solutions in $\mathbb{R}^3$ for ionic Vlasov-Poisson systems},
  author = {Megan Griffin-Pickering and Mikaela Iacobelli},
  journal= {arXiv preprint arXiv:2006.14898},
  year   = {2021}
}

Comments

25 pages; minor changes

R2 v1 2026-06-23T16:38:50.655Z