Splash singularities for the free boundary Navier-Stokes equations

2015/04/10 by Castro, Angel, Córdoba, Diego, Fefferman, Charles +2 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1504.02775

Abstract

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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