Publication: Stability of a point charge for the repulsive Vlasov-Poisson system
Stability of a point charge for the repulsive Vlasov-Poisson system
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Pausader, B., Widmayer, K., & Yang, J. (2022). Stability of a point charge for the repulsive Vlasov-Poisson system (2207.05644; ArXiv.Org). https://doi.org/10.48550/arXiv.2207.05644
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We consider solutions of the repulsive Vlasov-Poisson system which are a combination of a point charge and a small gas, i.e.\ measures of the form $δ_{(X(t),V(t))}+μ^{2}dxdv$ for some $(X,V):R→R^{6}$ and a small gas distribution $μ:R→L^{2}{x,v}$, and study asymptotic dynamics in the associated initial value problem. If initially suitable moments on $μ{0}=μ(t=0)$ are small, we obtain a global solution of the above form, and the electric field generated by the gas distribution $μ$
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Pausader, B., Widmayer, K., & Yang, J. (2022). Stability of a point charge for the repulsive Vlasov-Poisson system (2207.05644; ArXiv.Org). https://doi.org/10.48550/arXiv.2207.05644
