Publication

Stability of a Point Charge for the Vlasov–Poisson System: The Radial Case

Klaus Martin Widmayer
2021
Journal Articles

Abstract

We consider the Vlasov–Poisson system with repulsive interactions. For 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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Stability of a Point Charge for the Vlasov–Poisson System: The Radial Case

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