English

On the attractive plasma-charge system in 2-d

Analysis of PDEs 2011-06-29 v1

Abstract

We study a positively charged Vlasov-Poisson plasma in which N negative point charges are immersed. The attractiveness of the system forces us to consider a possibly unbounded plasma density near the charges. We prove the existence of a global in time solution, assuming a suitable initial distribution of the velocities of the plasma particles. Uniqueness remains unsolved.

Keywords

Cite

@article{arxiv.1106.5527,
  title  = {On the attractive plasma-charge system in 2-d},
  author = {Silvia Caprino and Carlo Marchioro and Evelyne Miot and Mario Pulvirenti},
  journal= {arXiv preprint arXiv:1106.5527},
  year   = {2011}
}
R2 v1 2026-06-21T18:28:21.547Z