Existence, rigidity, and stability theorems are established for compactly supported steady Euler flows with constant vorticity in partially, two-phase, and fully overdetermined free-boundary problems.
Haziot, Stratified large-amplitude steady periodic water waves with critical layers, Comm
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On two-dimensional steady compactly supported Euler flows with constant vorticity
Existence, rigidity, and stability theorems are established for compactly supported steady Euler flows with constant vorticity in partially, two-phase, and fully overdetermined free-boundary problems.