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
Nonlinear stability of plane ideal flows in a periodic channel
Guodong Wang
In this paper, we establish two stability theorems for steady or traveling solutions of the two-dimensional incompressible Euler equation in a finite periodic channel, extending Ar…
math.AP2024
Desingularization of vortices for the incompressible Euler equation on a sphere
Daomin Cao, Shuanglong Li, Guodong Wang
In this paper, we construct a family of global solutions to the incompressible Euler equation on a standard 2-sphere. These solutions are odd-symmetric with respect to the equatori…