Asymptotic structure of fast dynamo eigenfunctions

机译：快速发电机本征函数的渐近结构

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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.

机译：当磁扩散率较小时，运动发电机问题的本征函数表现出复杂的空间结构。当基流在空间上是周期性的时，我们可以通过检查大波矢处的本征函数的傅立叶分量来研究这种结构。在这种情况下，我们可以根据波矢量的缓慢变化函数来寻求WKB形式。可以对零和小的非零扩散率系统地分析所得的方程层次。

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《NATO ARW and IUTAM Symposium Sep 2-7, 2001 Zakopane, Poland》|2001年|p.157-168|共12页
会议地点 Zakopane(PL)
作者
B. J. BAYLY;
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Mathematics Dept., University of Arizona Tucson AZ 85721, USA;

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原文格式 PDF
正文语种 eng
中图分类力学;
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入库时间 2022-08-26 14:22:16

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Asymptotic structure of fast dynamo eigenfunctions

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