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math.AP2026
Proof of the planar Khavinson-Shapiro conjecture
Feng Shao, Weicheng Zhan
Let be a bounded domain whose boundary is a finite union of pairwise disjoint Jordan curves. We prove the planar Khavinson--Shapiro conjecture in this settin…
math.AP2023★ 1 cited
Self-similar algebraic spiral solution of 2-D incompressible Euler equations
Feng Shao, Dongyi Wei, Zhifei Zhang
In this paper, we prove the existence of self-similar algebraic spiral solutions for 2-D incompressible Euler equations for the initial vorticity of the form $|y|^{-\frac1μ}\ \math…