Rigidity for homogeneous solutions to the two-dimensional Euler equations in sector-type domains

Li Li, Xukai Yan, Zhibo Yang

We study the rigidity problem for $(-\alpha )$-homogeneous solutions to the two-dimensional incompressible stationary Euler equations in sector-type domains $Ω_{a, b, θ_0}:= \{(r,θ): a<r…