Splash Singularities for the Free Boundary Navier-Stokes Equations

Angel Castro, Diego Córdoba, Charles Fefferman, Francisco Gancedo, Javier Gómez-Serrano

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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
Issue number1
StatePublished - Jun 1 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematical Physics
  • General Physics and Astronomy
  • Geometry and Topology
  • Applied Mathematics


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


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