Stability of a point charge for the Vlasov-Poisson system: the radial case
Analysis of PDEs
2021-06-30 v1
Abstract
We consider the Vlasov-Poisson system with initial data a small, radial, absolutely continuous perturbation of a point charge. We show that the solution is global and disperses to infinity via a modified scattering along trajectories of the linearized flow. This is done by an exact integration of the linearized equation, followed by the analysis of the perturbed Hamiltonian equation in action-angle coordinates.
Keywords
Cite
@article{arxiv.2008.08013,
title = {Stability of a point charge for the Vlasov-Poisson system: the radial case},
author = {Benoit Pausader and Klaus Widmayer},
journal= {arXiv preprint arXiv:2008.08013},
year = {2021}
}