Global well-posedness of Vlasov-Poisson-type systems in bounded domains
Analysis of PDEs
2023-12-20 v1
Abstract
In this paper we prove global existence of classical solutions to the Vlasov-Poisson and the ionic Vlasov-Poisson models in bounded domains. On the boundary, we consider the specular reflection boundary condition for the Vlasov equation and either homogeneous Dirichlet or Neumann conditions for the Poisson equations.
Keywords
Cite
@article{arxiv.2108.11209,
title = {Global well-posedness of Vlasov-Poisson-type systems in bounded domains},
author = {Ludovic Cesbron and Mikaela Iacobelli},
journal= {arXiv preprint arXiv:2108.11209},
year = {2023}
}