On Integral Invariants for Vortex Motion under the Localized Induction Approximation

Yasuhide Fukumoto

doi:10.1143/JPSJ.56.4207

On Integral Invariants for Vortex Motion under the Localized Induction Approximation

Yasuhide Fukumoto

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

10 Citations (Scopus)

Abstract

Integral invariants associated with the motion of a vortex filament in an incompressible inviscid fluid are explored, under the assumption of localized induction. It is shown that the moment of the fluid impulse and the helicity are both invariant with respect to time. A sufficient condition for a closed filament to be unknotted is presented by using the concept of the total curvature of a closed curve.

Original language	English
Pages (from-to)	4207-4209
Number of pages	3
Journal	journal of the physical society of japan
Volume	56
Issue number	12
DOIs	https://doi.org/10.1143/JPSJ.56.4207
Publication status	Published - 1987
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1143/JPSJ.56.4207

Cite this

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title = "On Integral Invariants for Vortex Motion under the Localized Induction Approximation",

abstract = "Integral invariants associated with the motion of a vortex filament in an incompressible inviscid fluid are explored, under the assumption of localized induction. It is shown that the moment of the fluid impulse and the helicity are both invariant with respect to time. A sufficient condition for a closed filament to be unknotted is presented by using the concept of the total curvature of a closed curve.",

author = "Yasuhide Fukumoto",

year = "1987",

doi = "10.1143/JPSJ.56.4207",

language = "English",

volume = "56",

pages = "4207--4209",

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T1 - On Integral Invariants for Vortex Motion under the Localized Induction Approximation

AU - Fukumoto, Yasuhide

PY - 1987

Y1 - 1987

N2 - Integral invariants associated with the motion of a vortex filament in an incompressible inviscid fluid are explored, under the assumption of localized induction. It is shown that the moment of the fluid impulse and the helicity are both invariant with respect to time. A sufficient condition for a closed filament to be unknotted is presented by using the concept of the total curvature of a closed curve.

AB - Integral invariants associated with the motion of a vortex filament in an incompressible inviscid fluid are explored, under the assumption of localized induction. It is shown that the moment of the fluid impulse and the helicity are both invariant with respect to time. A sufficient condition for a closed filament to be unknotted is presented by using the concept of the total curvature of a closed curve.

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U2 - 10.1143/JPSJ.56.4207

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M3 - Article

AN - SCOPUS:0038582185

SN - 0031-9015

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JO - journal of the physical society of japan

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IS - 12

ER -

On Integral Invariants for Vortex Motion under the Localized Induction Approximation

Abstract

All Science Journal Classification (ASJC) codes

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