Motion of a vortex filament with axial flow in the half space

Masashi Aiki, Tatsuo Iguchi

Research output: Contribution to journalArticle


We consider a nonlinear third order dispersive equation which models the motion of a vortex filament immersed in an incompressible and inviscid fluid occupying the three dimensional half space. We prove the unique solvability of initial-boundary value problems as an attempt to analyze the motion of a tornado.

Original languageEnglish
Pages (from-to)1311-1335
Number of pages25
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Issue number6
Publication statusPublished - 2014 Nov 1


ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Applied Mathematics

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