2 papers
math.AP2026
On Arnold-type stability theorems for the Euler equation on a sphere
Daomin Cao, Guodong Wang
In this paper, we establish three Arnold-type stability theorems for steady or rotating solutions of the incompressible Euler equation on a sphere. Specifically, we prove that if t…
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…