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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.…
math.AP2024
Free boundary problems for the two-dimensional Euler equations in exterior domains
Daomin Cao, Boquan Fan, Weicheng Zhan
In this paper we present some classification results for the steady Euler equations in two-dimensional exterior domains with free boundaries. We prove that, in an exterior domain,…