From Fluid Dynamics to Differential Geometry --- Do We Have Wild Oscillations or Spirals?
发布时间:2020年11月02日
浏览次数:5737
发布者: He Liu
主讲人: Siran Li (NYU Shanghai)
活动时间: 从 2020-11-11 14:00 到 15:00
场地: 北京国际数学研究中心,全斋全9教室
We report our recent work on several questions in geometric and global analysis, with emphasis on the existence and weak stability of isometric immersions and Gauss--Codazzi equations. By exploring linkages and analogies between fluid dynamics and differential geometry, we obtain new results and/or counterexamples to these problems. Throughout, the presence or preclusion of ''wild'' spirals and oscillations plays a central role in our arguments.