Asymptotic structure of fast dynamo eigenfunctions

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The eigenfunctions of the kinematic dynamo problem exhibit complicated spatial structure when the magnetic diffusivity is small. When the base flow is spatially periodic, we may study this structure by examining the Fourier components of the eigenfunction at large wavevectors. In this regime we may seek a WKB form in terms of slowly-varying functions of wavevector. The resulting hierarchy of equations may be systematically analysed for both zero and small nonzero diffusivities.

Original languageEnglish (US)
Title of host publicationFluid Mechanics and its Applications
Pages157-168
Number of pages12
Volume71
StatePublished - 2004

Publication series

NameFluid Mechanics and its Applications
Volume71
ISSN (Print)09265112

Fingerprint

Eigenvalues and eigenfunctions
Kinematics

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Fluid Flow and Transfer Processes

Cite this

Bayly, B. J. (2004). Asymptotic structure of fast dynamo eigenfunctions. In Fluid Mechanics and its Applications (Vol. 71, pp. 157-168). (Fluid Mechanics and its Applications; Vol. 71).

Asymptotic structure of fast dynamo eigenfunctions. / Bayly, Bruce J.

Fluid Mechanics and its Applications. Vol. 71 2004. p. 157-168 (Fluid Mechanics and its Applications; Vol. 71).

Research output: Chapter in Book/Report/Conference proceedingChapter

Bayly, BJ 2004, Asymptotic structure of fast dynamo eigenfunctions. in Fluid Mechanics and its Applications. vol. 71, Fluid Mechanics and its Applications, vol. 71, pp. 157-168.
Bayly BJ. Asymptotic structure of fast dynamo eigenfunctions. In Fluid Mechanics and its Applications. Vol. 71. 2004. p. 157-168. (Fluid Mechanics and its Applications).
Bayly, Bruce J. / Asymptotic structure of fast dynamo eigenfunctions. Fluid Mechanics and its Applications. Vol. 71 2004. pp. 157-168 (Fluid Mechanics and its Applications).
@inbook{87f681f08a4048ab9d392673a19a1500,
title = "Asymptotic structure of fast dynamo eigenfunctions",
abstract = "The eigenfunctions of the kinematic dynamo problem exhibit complicated spatial structure when the magnetic diffusivity is small. When the base flow is spatially periodic, we may study this structure by examining the Fourier components of the eigenfunction at large wavevectors. In this regime we may seek a WKB form in terms of slowly-varying functions of wavevector. The resulting hierarchy of equations may be systematically analysed for both zero and small nonzero diffusivities.",
author = "Bayly, {Bruce J}",
year = "2004",
language = "English (US)",
isbn = "1402009801",
volume = "71",
series = "Fluid Mechanics and its Applications",
pages = "157--168",
booktitle = "Fluid Mechanics and its Applications",

}

TY - CHAP

T1 - Asymptotic structure of fast dynamo eigenfunctions

AU - Bayly, Bruce J

PY - 2004

Y1 - 2004

N2 - The eigenfunctions of the kinematic dynamo problem exhibit complicated spatial structure when the magnetic diffusivity is small. When the base flow is spatially periodic, we may study this structure by examining the Fourier components of the eigenfunction at large wavevectors. In this regime we may seek a WKB form in terms of slowly-varying functions of wavevector. The resulting hierarchy of equations may be systematically analysed for both zero and small nonzero diffusivities.

AB - The eigenfunctions of the kinematic dynamo problem exhibit complicated spatial structure when the magnetic diffusivity is small. When the base flow is spatially periodic, we may study this structure by examining the Fourier components of the eigenfunction at large wavevectors. In this regime we may seek a WKB form in terms of slowly-varying functions of wavevector. The resulting hierarchy of equations may be systematically analysed for both zero and small nonzero diffusivities.

UR - http://www.scopus.com/inward/record.url?scp=84859822894&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84859822894&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:84859822894

SN - 1402009801

SN - 9781402009808

VL - 71

T3 - Fluid Mechanics and its Applications

SP - 157

EP - 168

BT - Fluid Mechanics and its Applications

ER -