3 papers
math.AP2026
Quantitative Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus
Fatao Wang, Guodong Wang, Xiaoxue Zhu
In this paper, we establish quantitative estimates for the orbital stability of the first Laplacian eigenstates of the incompressible Euler equation on a two-dimensional flat torus…
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…