2020/08/18 by Benoit Pausader, Klaus Widmayer · 1 citation
Mathematics · #math.AP
paper · pdf · doi:10.1007/s00220-021-04117-8
arxiv created 2020/08/18 · arxiv updated 2021/06/30
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.