报告人：张志涛（中国科学院数学与系统科学研究院）

邀请人：杨美华

报告时间：2021年12月23日（星期四）14:30-16:00

报告地点：腾讯会议ID：891 578 380

报告题目：Normalized solutions to the Chern-Simons-Schrodinger system and  fractional Schrodinger equations

报告摘要：We introduce normalized solutions to the Chern-Simons-Schrodinger system, which is a gauge-covariant nonlinear Schrodinger system with a long-range electromagnetic field, arising in nonrelativistic quantum mechanics theory. The solutions correspond to critical points of the underlying energy functional subject to the $L^2$-norm constraint. We also study the normalized solutions of the fractional nonlinear Schrodinger equations with combined nonlinearities, and get the existence and stability of standing waves for the fractional nonlinear Schrodinger equation.

报告人简介：张志涛，中国科学院数学与系统科学研究院二级研究员、博士生导师, 华罗庚数学首席研究员，中国科学院特聘研究员（核心骨干）。