G-invariant divergence-free initial data on compact cohomogeneity-one manifolds yield global smooth G-invariant solutions to the incompressible Euler equations.
Elgindi,Finite-time singularity formation forC 1,α solutions to the incompressible Euler equations onR 3, Ann
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Incompressible Euler fluids on compact cohomogeneity one manifolds
G-invariant divergence-free initial data on compact cohomogeneity-one manifolds yield global smooth G-invariant solutions to the incompressible Euler equations.