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Christian Seis

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Preprint Aug 2026

On Leonardo da Vinci's paradox

Buoyancy points straight upward, yet in the absence of external forces, a rising air bubble may trace a spiral through the water. This phenomenon was already observed by Leonardo da Vinci. We show that the gravity-free, three-dimensional two-phase incompressible Euler equations with surface tension already admit such a...

Björn Gebhard, Lukas Niebel, Christian Seis · 0 citations

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