中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
偏微分方程研讨班
Speaker: 崔翰（清华大学）
Inviter: 黄祥娣
Language: Chinese
Title: Global Well-Posedness for the Two-Dimensional Euler-Poisson System for Ions
Time & Venue: 2026年10月13日（星期二）11:00-12:00 思源楼S525
Abstract: In this talk, we prove global existence and scattering for the two-dimensional Euler-Poisson system for ions, for sufficiently small perturbations of a constant equilibrium state. The analysis is based on the space-time resonance method, in particular the framework developed in the works of Deng, Ionescu, and Pausader on the Euler-Maxwell system and of Deng, Ionescu, Pausader, and Pusateri on gravity-capillary water waves. The main difficulties arise from slow decay and low-frequency time resonances. We overcome these obstacles by exploiting an improved approximate finite speed of propagation and the absence of time resonances in the second iteration.