学术报告报告主题: Nonrelativistic Limit of Normalized Solutions to a class of nonlinear Dirac equations
报告人: 郭琪
报告时间：2024年4月25日（星期四）下午14:00-15: 00
报告地点：腾讯会议：291-540-362；会议密码：112358
邀请人: 陈波副教授
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数学学院
2024年 4月17日
报告摘要：In this talk, we discuss the nonrelativistic limit of normalized solutions to a nonlinear Dirac equation. Our research first confirms the presence of normalized solutions to the Dirac equation under high-speed light conditions. We then illustrate that these solutions converge to normalized ground states of nonlinear Schrödinger equations, and we also show uniform boundedness and exponential decay of these solutions. Our results not only aid in the study of normalized solutions of the nonlinear Schrödinger equations, but also physically explains that the normalized ground states of high-speed particles and low-speed motion particles are consistent. This is a joint work with Pan Chen, Yanheng Ding and Hua-yang Wang.
报告人介绍：郭琪，中科院数学与系统科学研究院数学所博士，中国人民大学数学学院博士后，现任中国人民大学数学学院讲师。研究兴趣为变分法，临界点理论，随机图等，部分研究成果发表在Calc. Var. Partial Differential Equations, J. Differential Equations, SIAM J. Math. Anal., J. Math. Phys., Discrete Contin. Dyn. Syst. 等杂志上，已出版2本学术专著，2本学习指导书。主持或完成国家自然基金项目3项。