Asymptotic structure of fast dynamo eigenfunctions

  • B. J. Bayly
Conference paper
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 71)


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.


Eikonal Equation Induction Equation Magnetic Diffusivity Dynamo Action Asymptotic Structure 
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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • B. J. Bayly
    • 1
  1. 1.Mathematics Dept.University of ArizonaTucsonUSA

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