Motion of a vortex filament in the half-space

Masashi Aiki, Tatsuo Iguchi

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


A model equation for the motion of a vortex filament immersed in three-dimensional, incompressible and inviscid fluid is investigated as a preliminary attempt to model the motion of a tornado. We solve an initial-boundary value problem in the half-space, where we impose a boundary condition in which the vortex filament is allowed to move on the boundary.

Original languageEnglish
Pages (from-to)5180-5185
Number of pages6
JournalNonlinear Analysis, Theory, Methods and Applications
Issue number13
Publication statusPublished - 2012 Sept


  • Initial-boundary value problem
  • Localized induction equation
  • Vortex filament

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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