2 papers
math.AP2025
Quantitative stability of a class of explicit steady Euler flows in a disk
Fatao Wang, Guodong Wang
We provide a short proof of the -orbital stability of a class of explicit steady Euler flows in a disk by establishing a quantitative estimate. The main idea is to exploit the…
math.AP2025
On the positive constant in Arnold's second stability theorem for a bounded domain
Fatao Wang, Guodong Wang, Bijun Zuo
For a steady flow of a two-dimensional ideal fluid, the gradient vectors of the stream function and its vorticity are collinear. Arnold's second stability theorem states…