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arxiv: 1504.02775 · v2 · pith:W4GLIVA3new · submitted 2015-04-10 · 🧮 math.AP

Splash singularities for the free boundary Navier-Stokes equations

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keywords boundaryequationsfreenavier-stokessplashbreaksdatadown
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In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Navier-Stokes equations, for which the smoothness of the interface breaks down in finite time into a splash singularity.

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