English

On the asymptotic behavior of solutions to the Vlasov-Poisson system

Analysis of PDEs 2020-05-08 v1

Abstract

We prove small data modified scattering for the Vlasov-Poisson system in dimension d=3d=3 using a method inspired from dispersive analysis. In particular, we identify a simple asymptotic dynamic related to the scattering mass.

Keywords

Cite

@article{arxiv.2005.03617,
  title  = {On the asymptotic behavior of solutions to the Vlasov-Poisson system},
  author = {Alexandru D. Ionescu and Benoit Pausader and Xuecheng Wang and Klaus Widmayer},
  journal= {arXiv preprint arXiv:2005.03617},
  year   = {2020}
}