Global well-posedness in 3-dimensions for the Vlasov-Poisson system with massless electrons
Griffin-Pickering, Megan ; Iacobelli, Mikaela
arXiv, 1810.06928 / Harvested from arXiv
Text on arXiv
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 classical Vlasov-Poisson system (VP) in that the Poisson coupling has an exponential nonlinearity that creates several mathematical difficulties. In particular, while the global well-posedness in 3D is well understood in the classical case, this problem remained completely open for 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 to this setting all the previous results known for VP.
Publié le : 2018-10-16
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics 
@article{1810.06928,
     author = {Griffin-Pickering, Megan and Iacobelli, Mikaela},
     title = {Global well-posedness in 3-dimensions for the Vlasov-Poisson system with
  massless electrons},
     journal = {arXiv},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1810.06928}
}

Griffin-Pickering, Megan; Iacobelli, Mikaela. Global well-posedness in 3-dimensions for the Vlasov-Poisson system with
  massless electrons. arXiv, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/1810.06928/