From Fluid Dynamics to Differential Geometry --- Do We Have Wild Oscillations or Spirals?
Time: 2020-11-02
Published By: He Liu
Speaker(s): Siran Li (NYU Shanghai)
Time: 14:00-15:00 November 11, 2020
Venue: Room 9, Quan Zhai, BICMR
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.
