Motion of a vortex filament in the half-space

Masashi Aiki; Tatsuo Iguchi

doi:10.1016/j.na.2012.04.034

Motion of a vortex filament in the half-space

Masashi Aiki, Tatsuo Iguchi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	5180-5185
Number of pages	6
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	75
Issue number	13
DOIs	https://doi.org/10.1016/j.na.2012.04.034
Publication status	Published - 2012 Sept

Keywords

Initial-boundary value problem
Localized induction equation
Vortex filament

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2012.04.034

Cite this

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abstract = "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.",

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author = "Masashi Aiki and Tatsuo Iguchi",

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AB - 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.

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KW - Localized induction equation

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ER -

Motion of a vortex filament in the half-space

Abstract

Keywords

ASJC Scopus subject areas

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