Nonlinear stability of the Vlasov-Poisson system in $\mathbb{T}^d$ and $\mathbb{R}^3$

发布时间：2026-05-28 作者：浏览次数：

Speaker:	王学成	DateTime:	2026年5月29日（周五）16:30-17:30
Brief Introduction to Speaker: 王学成教授清华大学		Place:	国交2号楼315会议室
Abstract:We consider the global stability problem for the Vlasov-Poisson system in $\mathbb{T}^d$ and $\mathbb{R}^3$ around the spatially homogeneous nontrivial equilibrium. (i) For the periodic case, i.e., in $\mathbb{T}^d$ , we prove the nonlinear stability in the sharp Gevery-3 space and the existence of nonlinear scattering operator. (ii) In $\mathbb{R}^3$, we give linear stability for a class of general equilibrium and nonlinear stability for a special equilibrium, which is the so-called Poisson equilibrium. This talk is based on joint works with A. Ionescu (Princeton University), B. Pausader (Brown University), and K. Widmayer (University of Zurich and University of Vienna).