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research article
Stability of a Point Charge for the Vlasov–Poisson System: The Radial Case
June 9, 2021
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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Name
Pausader-Widmayer2021_Article_StabilityOfAPointChargeForTheV.pdf
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Publisher's version
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openaccess
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CC BY
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793.76 KB
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Adobe PDF
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