A streamlined proof that in 3D Vlasov-Poisson, small perturbations near the Poisson equilibrium produce a decaying electric field and convergence to a free-streaming state, reproducing a theorem of Ionescu, Pausader, Wang and Widmayer.
Nonlinear Landau damping for the 2d Vlasov-Poisson system with massless electrons around Penrose-stable equilibria
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abstract
In this paper, we prove the nonlinear asymptotic stability of the Penrose-stable equilibria among solutions of the $2d$ Vlasov-Poisson system with massless electrons.
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A new proof of nonlinear Landau damping for the 3D Vlasov-Poisson system near Poisson equilibrium
A streamlined proof that in 3D Vlasov-Poisson, small perturbations near the Poisson equilibrium produce a decaying electric field and convergence to a free-streaming state, reproducing a theorem of Ionescu, Pausader, Wang and Widmayer.