Finite time singularities for water waves with surface tension

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

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


Here we consider the 2D free boundary incompressible Euler equation with surface tension. We prove that the surface tension does not prevent a finite time splash or splat singularity, i.e., the curve touches itself either in a point or along an arc. To do so, the main ingredients of the proof are a transformation to desingularize the curve and a priori energy estimates.

Original languageEnglish (US)
Article number115622
JournalJournal of Mathematical Physics
Issue number11
StatePublished - Nov 27 2012

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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