中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
综合报告
报告人：郑 凡 博士（Instituto de Ciencias Matem´aticas, Madrid, Spain）
题 目：Poincare's normal form and its application to partial differential equations
时 间：2021.06.25（星期五），16:00-17:00
地 点：数学院南楼N204室 腾讯会议：134 916 578
摘 要：Among Poincare's numerous mathematical contributions is one related to the local theory of differential equations. Near an equilibrium point of a system of ordinary differential equations, one can transform the system to a "normal form", provided that certain "non-resonant" conditions are satisfied. In this talk, I will first introduce the concept of "resonance", and then present Poincare's theorem on his normal form. Finally I will talk about the extension of Poincare's normal form to partial differential equations, which is currently an active field of research.
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