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

Masashi Aiki, Tatsuo Iguchi

Research output: Contribution to journal › Article

Abstract

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. Annales: Analyse Non Lineaire/Nonlinear Analysis
Volume31
Issue number6
DOIs
Publication statusPublished - 2014 Nov 1

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Vortex Filament
Tornadoes
Axial flow
Half-space
Boundary value problems
Vortex flow
Dispersive Equations
Fluids
Unique Solvability
Motion
Initial-boundary-value Problem
Fluid
Three-dimensional
Model

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics

Cite this

Motion of a vortex filament with axial flow in the half space. / Aiki, Masashi; Iguchi, Tatsuo.

In: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, Vol. 31, No. 6, 01.11.2014, p. 1311-1335.

Research output: Contribution to journal › Article

Aiki, M & Iguchi, T 2014, 'Motion of a vortex filament with axial flow in the half space', Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, vol. 31, no. 6, pp. 1311-1335. https://doi.org/10.1016/j.anihpc.2013.09.004
Aiki M, Iguchi T. Motion of a vortex filament with axial flow in the half space. Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. 2014 Nov 1;31(6):1311-1335. https://doi.org/10.1016/j.anihpc.2013.09.004
Aiki, Masashi ; Iguchi, Tatsuo. / Motion of a vortex filament with axial flow in the half space. In: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. 2014 ; Vol. 31, No. 6. pp. 1311-1335.
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