### 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) |
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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 |
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Volume | 71 |

ISSN (Print) | 0926-5112 |

### ASJC Scopus subject areas

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

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## Cite this

Bayly, B. J. (2004). Asymptotic structure of fast dynamo eigenfunctions. In K. BAJER, & H. K. MOFFATT (Eds.),

*Tubes, Sheets and Singularities in Fluid Dynamics*(pp. 157-168). (Fluid Mechanics and its Applications; Vol. 71).