应学院邀请,中山大学数学学院李冏玥副教授将在线作学术报告。
报告题目:Asymptotic behavior of spinor fields and global solutions to nonlinear Dirac equations
报告摘要:In this talk, we will discuss the asymptotic behavior of the solution to the Dirac equation in Minkowski space-time via a vector-field method. Based on the decay mechanism of the solution, we will give a new insight to investigate the spinor null forms. Then a small-data-global-existence result of some typical nonlinear Dirac model follows. This result also anwers an open question raised by N. Tzvetkov concerning the Lorentz-invariant nonlinear Dirac equations.
报告地点:腾讯会议号(492-162-155)
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报告人简介
李冏玥,中山大学数学学院副教授,2012年毕业于西北师范大学,2017年在中国科学院获得博士学位,2017-2019年清华大学丘成桐数学中心博士后,研究方向为非线性波动方程与数学广义相对论,在J. Differential Geom., Calc. Var. Partial Differential Equations, IMRN等国际数学著名期刊上发表多篇SCI论文,主持一项国家自然科学基金青年项目。