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The Quarterly Journal of Mechanics and Applied Mathematics 1957 10(1):129-136; doi:10.1093/qjmam/10.1.129
© 1957 by Oxford University Press
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THE DYNAMO MAINTENANCE OF STEADY MAGNETIC FIELDS

T. G. COWLING

( The University Leeds )

A general type of mathematical argument is described, which applies to all the cases in which dynamo maintenance of a steady magnetic field by motion in a uniform mass is known to be impossible. The number of general classes of motion to which this type of argument applies is shown to be strictly limited. It is suggested that all proofs of the impossibility of dynamo maintenance for general classes of motion must be reducible to this type.


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