scholarly journals The gyrokinetic limit for the Vlasov–Poisson system with a point charge

Nonlinearity ◽  
2019 ◽  
Vol 32 (2) ◽  
pp. 654-677
Author(s):  
Evelyne Miot
Keyword(s):  
Point Charge ◽  
Poisson System

Global weak solutions for the Vlasov-Poisson system with a point charge

2014 ◽  
Vol 38 (17) ◽  
pp. 3776-3791 ◽  
Author(s):  
Jing Chen ◽  
Xianwen Zhang ◽  
Jinbo Wei
Keyword(s):  
Weak Solutions ◽  
Point Charge ◽  
Poisson System ◽  
Global Weak Solutions

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

2021 ◽  
Author(s):  
Benoit Pausader ◽  
Klaus Widmayer
Keyword(s):  
Initial Data ◽  
Point Charge ◽  
Hamiltonian Equation ◽  
Poisson System ◽  
Absolutely Continuous ◽  
Exact Integration ◽  
Radial Case ◽  
Repulsive Interactions ◽  
Continuous Perturbation

AbstractWe 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.

scholarly journals Lagrangian solutions to the Vlasov-Poisson system with a point charge

2018 ◽  
Vol 11 (6) ◽  
pp. 1277-1299 ◽  
Author(s):  
Gianluca Crippa ◽  
◽  
Silvia Ligabue ◽  
Chiara Saffirio ◽  
Keyword(s):  
Point Charge ◽  
Poisson System

scholarly journals Asymptotic growth bounds for the Vlasov–Poisson system with a point charge

2015 ◽  
Vol 46 ◽  
pp. 17-24 ◽  
Author(s):  
Jing Chen ◽  
Jinbo Wei ◽  
Xianwen Zhang
Keyword(s):  
Point Charge ◽  
Poisson System ◽  
Asymptotic Growth

scholarly journals Observers of Vlasov-Poisson system

2020 ◽  
Vol 53 (2) ◽  
pp. 5946-5951
Author(s):  
Amadou Cisse ◽  
Mohamed Boutayeb
Keyword(s):  
Poisson System
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