Splash singularities for the free boundary Navier-Stokes equations

2015/04/10 by Angel Castro, Castro, Angel, Diego Córdoba +7 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1504.02775

82 pages, 9 figures

arxiv created 2019/05/12 · arxiv updated 2019/05/14

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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