Uniformly rotating 2D Euler solutions with compactly supported vorticity are forced to be radially symmetric whenever the angular velocity lies outside half the range of the vorticity, including irregular vortex patches.
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Remarks on radial symmetry of stationary and uniformly-rotating solutions for the 2D Euler equation
Uniformly rotating 2D Euler solutions with compactly supported vorticity are forced to be radially symmetric whenever the angular velocity lies outside half the range of the vorticity, including irregular vortex patches.