Asymptotic structure of fast dynamo eigenfunctions
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.
KeywordsEikonal Equation Induction Equation Magnetic Diffusivity Dynamo Action Asymptotic Structure
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