Publication: Nonlinear Landau damping for the Vlasov-Poisson system in $R^{3}$: the Poisson equilibrium
Nonlinear Landau damping for the Vlasov-Poisson system in $R^{3}$: the Poisson equilibrium
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Ionescu, A. D., Pausader, B., Wang, X., & Widmayer, K. (2022). Nonlinear Landau damping for the Vlasov-Poisson system in $R^{3}$: the Poisson equilibrium (2205.04540; ArXiv.Org). https://doi.org/10.48550/arXiv.2205.04540
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We prove asymptotic stability of the Poisson homogeneous equilibrium among solutions of the Vlassov-Poisson system in the Euclidean space $R^3$. More precisely, we show that small, smooth, and localized perturbations of the Poisson equilibrium lead to global solutions of the Vlasov-Poisson system, which scatter to linear solutions at a polynomial rate as $t→∞$. The Euclidean problem we consider here differs significantly from the classical work on Landau damping in the periodic setting, in several ways. Most importantly, the linearize
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Ionescu, A. D., Pausader, B., Wang, X., & Widmayer, K. (2022). Nonlinear Landau damping for the Vlasov-Poisson system in $R^{3}$: the Poisson equilibrium (2205.04540; ArXiv.Org). https://doi.org/10.48550/arXiv.2205.04540
