报告题目：The orbital stability of positive standing wave to the planar Schrödinger-Newton system

报告人：中国地质大学（武汉）刘志苏教授

时间：2025年5月14日10:00-11:00

地点：立志楼A422

刘志苏: 中国地质大学（武汉）数理学院教授。研究方向:非局部椭圆偏微分方程中的变分问题以及多智能体系统的集群稳定性问题,主持国家自然科学基金青年、天元、天元访问各一项；湖南省优秀青年基金1项。作为主要贡献者获湖南省自然科学一等奖、三等奖各1项。在国内外学术刊物上发表论文40余篇，部分研究成果发表在 CVPDE, Nonlinearity, JDE, Israel J. Math, AMPA等刊物上。现为德国Zentralblatt MATH 评论员，美国数学评论员，国际差分方程协会会员。

摘要：As a class of Hamiltonian system, the Schrödinger-Newton system was used by the physicist Penrose to describe the quantum mechanical properties of a polaron at rest, and was also used by Choquard to describe an electron trapped in its own hole in a certain approximating to Hartree-Fock theory of one component plasma. In this report, we are concerned with the dynamical behavior of positive standing waves to the planar Schrödinger-Newton system with small perturbation. In particular, we demonstrate that the uniqueness, non-degeneracy and orbital stability of positive standing waves.