中科院数学与系统科学研究院

数学研究所

学术报告

非线性泛函分析研讨班

报告人：郭琪（中国人民大学）

题  目：Recent developments in the study of nonrelativistic limit of nonlinear Dirac equations

时  间：2024.9.25（星期三）10：00-11：00

地  点：N219

摘  要：This talk will present a summary of recent findings on nonrelativistic limit of nonlinear Dirac equations. The discussion is divided into two main parts. Firstly, we discuss the ground states of nonlinear Dirac equations without constraints, focusing on the nonrelativistic limit of these ground states and the convergence behavior in cases with different potentials. Secondly, we delve into the nonrelativistic limit of normalized solutions of nonlinear Dirac equations. Specifically, we demonstrate that the first two components of the normalized ground states converge to the normalized ground states of the corresponding nonlinear Schr\odinger equations and the last two components converges to trivial states.