2 papers
math.AP2025
Remarks on radial symmetry of stationary and uniformly-rotating solutions for the 2D Euler equation
Boquan Fan, Yuchen Wang, Weicheng Zhan
We prove that any uniformly rotating solution of the 2D incompressible Euler equation with compactly supported vorticity must be radially symmetric whenever its angular veloci…
math.AP2024
Radial symmetry of stationary and uniformly-rotating solutions to the 2D Euler equation in a disc
Boquan Fan, Yuchen Wang, Weicheng Zhan
We study the radial symmetry properties of stationary and uniformly rotating solutions of the 2D Euler equation in the unit disc, both in the smooth setting and the patch setting.…