A further note on Cowling's theorem

Published under licence by IOP Publishing Ltd
, , Citation R L Ingraham 1996 Phys. Scr. 53 700 DOI 10.1088/0031-8949/53/6/009

1402-4896/53/6/700

Abstract

We prove that an axisymmetric stationary dynamo for the Faraday disc in which the B-field is continuous across the disc's boundary is impossible. The proof suggests that the same conclusion should hold for any stationary dynamo, axisymmetric or not, in a conducting medium with a sharp boundary of generic shape. The case of a spherical shell is an important exception due to its extreme symmetry. This note complements an earlier one (1995 Physica Scripta 52 60).

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10.1088/0031-8949/53/6/009