Splash Singularities for the Free Boundary Navier-Stokes Equations

Angel Castro, Diego Córdoba, Charles Fefferman, Francisco Gancedo, Javier Gomez Serrano

Research output: Contribution to journalArticle

3 Scopus citations

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.

Original languageEnglish (US)
Article number12
JournalAnnals of PDE
Volume5
Issue number1
DOIs
StatePublished - Jun 1 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics
  • Geometry and Topology
  • Mathematical Physics
  • Physics and Astronomy(all)

Keywords

  • Free boundary
  • Incompressible
  • Navier-Stokes
  • Singularities
  • Splash

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