2D capillary liquid drops with constant vorticity: rotating waves existence and a conditional energetic stability result for rotating circles

arXiv:2603.05458v1 Announce Type: cross Abstract: We consider a two-dimensional, pure capillary drop of nearly-circular shape, having constant vorticity. We write the Craig-Sulem equations on the unit circle, then on the flat torus. We show their Hamiltonian structure and we t...

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