A priori estimates for fluid interface problems

Jalal Shatah, Chongchun Zeng

Research output: Contribution to journalArticle


We consider the regularity of an interface between two incompressible and inviscid fluid flows in the presence of surface tension. We obtain local-in-time estimates on the interface in H(3/2)k+1 and the velocity fields in H(3/2)k. These estimates are obtained using geometric considerations which show that the Kelvin-Helmholtz instabilities are a consequence of a curvature calculation.

Original languageEnglish (US)
Pages (from-to)848-876
Number of pages29
JournalCommunications on Pure and Applied Mathematics
Issue number6
StatePublished - Jun 1 2008


ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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