Lagrangian Theory for 3D Vortex Sheets with Axial or Helical Symmetry

Russel E. Caflisch, Xiao Fan Li

Research output: Contribution to journalArticlepeer-review


Consider a three-dimensional vortex sheet in inviscid, incompressible flow which is irrotational away from the sheet. We derive an equation for the evolution of a vortex sheet in Lagrangian coordinates, i.e. an equation that is restricted to the sheet itself and is analogous to the Birkhoff-Rott equation for a two-dimensional (planar) sheet. This general equation is specialized to sheets with axial or helical symmetry, with or without swirl.

Original languageEnglish (US)
Pages (from-to)559-578
Number of pages20
JournalTransport Theory and Statistical Physics
Issue number4-6
StatePublished - Aug 1 1992

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Transportation
  • General Physics and Astronomy
  • Applied Mathematics


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