Proves sharp global rigidity of the unit circle for small Weber numbers in 2D hollow vortex free boundary problem, supporting Crowdy-Wegmann conjecture, plus isoperimetric-isocapacitary inequality and variational classification.
On the two-phase free boundary problem for two-dimensional water waves.Math
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Global rigidity of two-dimensional bubbles
Proves sharp global rigidity of the unit circle for small Weber numbers in 2D hollow vortex free boundary problem, supporting Crowdy-Wegmann conjecture, plus isoperimetric-isocapacitary inequality and variational classification.