Abstract
Like the bubble tip frozen into a drinking glass, very sharp tips are formed generically at the end of drops and bubbles in strong flows. We show that the tip curvature is exponentially large in the square of the flow strength, and that the bubble ends are almost conical, but with a slope that increases logarithmically as the tip is approached. This solution of the viscous flow equations is shown to match to the slender bubble shape valid away from the tip, found by G.I. Taylor.
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