Linear dispersive decay estimates for vortex sheets with surface tension

Daniel Spirn, J. Douglas Wright

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

We consider the amplitude decay for the linearized equations governing irrotational vortex sheets and water waves with surface tension. Using oscillatory integral estimates, we prove that the magnitude of the amplitude decays faster than t-1/3.

Original languageEnglish (US)
Pages (from-to)521-547
Number of pages27
JournalCommunications in Mathematical Sciences
Volume7
Issue number3
DOIs
StatePublished - Jan 1 2009

Keywords

  • Dispersive estimates
  • Oscillatory integrals
  • Strichartz estimates
  • Surface tension
  • Vortex sheets
  • Water waves

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