Stability of a point charge for the Vlasov-Poisson system: the radial case
arXiv:2008.08013 · doi:10.1007/s00220-021-04117-8
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.
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