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arXiv · 2008.08013

Stability of a point charge for the Vlasov-Poisson system: the radial case

Benoit Pausader·Klaus Widmayer
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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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Benoit Pausader, Klaus Widmayer. 2020-08-18. Stability of a point charge for the Vlasov-Poisson system: the radial case. https://doi.org/10.1007/s00220-021-04117-8

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