Nonlinear stability of the Vlasov-Poisson system in $\mathbb{T}^d$ and $\mathbb{R}^3$
来源：
发布时间：2026-06-03
报告时间：- 2026年5月29日（周五）16:30-17:30
- 报告地点：
- 国交2号楼315会议室
- 报告人：
- 王学成
- 报告人单位：
- 清华大学
- 邀请人：
- 訾瑞昭
- 摘要：
- 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).
王学成（ 清华大学）
