應學院邀請,中山大學數學學院李冏玥副教授将在線作學術報告。
報告題目:Asymptotic behavior of spinor fields and global solutions to nonlinear Dirac equations
報告摘要: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.
報告地點:騰訊會議号(492-162-155)
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報告人簡介
李冏玥,中山大學數學學院副教授,2012年畢業于77779193永利,2017年在中國科學院獲得博士學位,2017-2019年清華大學丘成桐數學中心博士後,研究方向為非線性波動方程與數學廣義相對論,在J. Differential Geom., Calc. Var. Partial Differential Equations, IMRN等國際數學著名期刊上發表多篇SCI論文,主持一項國家自然科學基金青年項目。