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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 velocit…
math.AP2025
Symmetry in Serrin-type overdetermined problems
Daomin Cao, Juncheng Wei, Weicheng Zhan
This paper investigates the geometric constraints imposed on a domain by overdetermined problems for partial differential equations. Serrin's symmetry results are extended to overd…