Stability and Instability of the Kelvin-Stuart Cat's Eyes Flow to the 2D Euler's Equation

Series
Dissertation Defense
Time
Friday, January 28, 2022 - 9:00am for 1 hour (actually 50 minutes)
Location
ONLINE
Speaker
Shasha Liao – Georgia Tech – sliao7@gatech.edu
Organizer

The linear stability of a family of Kelvin-Stuart Cat's eyes flows of 2D Euler equation was studied both analytically and numerically. We proved linear stability under co-periodic perturbations and linear instability under multi-periodic perturbations. These results were first obtained numerically using spectral methods and then proved analytically.

The Bluejeans link is: https://bluejeans.com/353383769/0224