Nonlinear Landau damping for the Vlasov-Poisson system in ${\mathbb{R}}^3$: the Poisson equilibrium

Alexandru Ionescu, Benoit Pausader, Xuecheng Wang +1

We prove asymptotic stability of the Poisson homogeneous equilibrium among solutions of the Vlassov-Poisson system in the Euclidean space ${\mathbb{R}}^3$. More precisely, we show th…