Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus
Open access
Date
2021Type
- Journal Article
ETH Bibliography
yes
Altmetrics
Abstract
The Vlasov-Poisson system with massless electrons (VPME) is widely used in plasma physics to model the evolution of ions in a plasma. It differs from the Vlasov-Poisson system (VP) for electrons in that the Poisson coupling has an exponential nonlinearity that creates several mathematical difficulties. In particular, while global well-posedness in 3 D is well understood in the electron case, this problem remained completely open for the ion model with massless electrons. The aim of this paper is to fill this gap by proving uniqueness for VPME in the class of solutions with bounded density, and global existence of solutions with bounded density for a general class of initial data, generalising all the previous results known for VP. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000488014Publication status
publishedExternal links
Journal / series
Communications in Partial Differential EquationsVolume
Pages / Article No.
Publisher
Taylor & FrancisSubject
Ionic Vlasov-Poisson systems; well-posedness theory; plasmaOrganisational unit
08842 - Iacobelli, Mikaela (ehem. Tit.-Prof.)
More
Show all metadata
ETH Bibliography
yes
Altmetrics