Linear dispersive decay estimates for vortex sheets with surface tension

Daniel Spirn, J. Douglas Wright

Research output: Contribution to journalArticle

1 Citation (Scopus)

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

Fingerprint

Dispersive Estimates
Vortex Sheet
Decay Estimates
Water waves
Surface Tension
Surface tension
Vortex flow
Decay
Oscillatory Integrals
Water Waves
Governing equation
Estimate

Keywords

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

Cite this

Linear dispersive decay estimates for vortex sheets with surface tension. / Spirn, Daniel; Wright, J. Douglas.

In: Communications in Mathematical Sciences, Vol. 7, No. 3, 01.01.2009, p. 521-547.

Research output: Contribution to journalArticle

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