题    目：Static States for Rotating Two-component Bose-Einstein Condensates

报告人：杨涛

单    位：浙江师范大学

时    间：2025年9月19日15:00-17:00

腾讯ID：841-781-002

摘    要：In this talk, we study static states for rotating two-component Bose-Einstein condensates in two and three dimensions. This leads to analyse normalized solutions for a coupled Schr\"odinger system with rotation. In dimension two, it corresponds to a mass-critical problem, for which we obtain some existence and non-existence results. In three dimensional case, the problem becomes mass-supercritical, where we prove a multiplicity result along with an accurately asymptotical analysis. Furthermore, a stability result is also established in both cases.

简    介：杨涛，2021年博士毕业于华中师范大学，师从李工宝教授，主要从事偏微分方程和非线性泛函分析的研究，相关成果发表于J. Differential Equations、Stud. Appl. Math.、Sci. China Math.、J. Fixed Point Theory Appl.、Adv. Nonlinear Stud.等杂志。现主持国家自然科学基金青年基金一项。