报告题目:Some results on ground states of nonlinear Dirac equations
报告时间:2026年2月27日下午15:00
报告地点:北湖东校区数统新楼216室
主办单位:红杏视频
报告人:郭琪
报告人简介:郭琪,中国人民大学讲师,2021年博士毕业于中科院数学所,研究方向为临界点理论、变分法和随机图理论等,近年来主要关注Dirac方程与离散逼近等问题,主持博士后基金一项,国家自然科学基金(青年项目)一项,相关研究工作发表在JDE, SIMA, CVPDE, DCDS, JMP等杂志。
摘要:In this talk, I will begin with a brief review of physical and geometric background of the Dirac operator, along with the spectral structure and orthogonal decomposition. Then I will introduce the definitions of action and energy ground states of nonlinear Dirac equations and discuss key properties such as existence, nonrelativistic limits, and convergence rates.