Splash and splat singularities for 3D water waves

water-dropletThe paper  “On the finite-time splash and splat singularities for the 3D free-surface Euler equations“, co-authored by Daniel Coutand and Steve Shkoller, has appeared in Comm. Math. Phys.  They prove that the 3D Euler equations with regular initial geometries and velocity fields have solutions which can form a splash or splat singularity in finite time.  A link to the paper is here.

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