Minimizers of strictly convex Casimirs in the fixed-energy orbit closure are maximally mixed equilibria; open sets of initial data near shear or radial flows fail to converge weakly to them on symmetric domains.
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On maximally mixed equilibria of two-dimensional perfect fluids
Minimizers of strictly convex Casimirs in the fixed-energy orbit closure are maximally mixed equilibria; open sets of initial data near shear or radial flows fail to converge weakly to them on symmetric domains.