Asymptotic structure of fast dynamo eigenfunctions

B. J. Bayly

Asymptotic structure of fast dynamo eigenfunctions

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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 language	English (US)
Title of host publication	Tubes, Sheets and Singularities in Fluid Dynamics
Editors	K. BAJER, H.K. MOFFATT
Pages	157-168
Number of pages	12
State	Published - Dec 1 2004

Publication series

Name	Fluid Mechanics and its Applications
Volume	71
ISSN (Print)	0926-5112

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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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.",

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