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Steady dynamos in finite domains: an integral equation approach
Author(s) -
Stefani F.,
Gerbeth G.,
Rädler K.H.
Publication year - 2000
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/(sici)1521-3994(200003)321:1<65::aid-asna65>3.0.co;2-d
Subject(s) - dynamo , physics , dynamo theory , mathematical analysis , classical mechanics , integral equation , boundary (topology) , boundary value problem , simple (philosophy) , mathematics , magnetic field , quantum mechanics , philosophy , epistemology
The paper deals with the integral equation approach to steady kinematic dynamo models in finite domains based on Biot‐Savart's law. The role of the electric potential at the boundary is worked out explicitly. As an example, a modified version of the simple spherical α‐effect dynamo model proposed by Krause and Steenbeck is considered in which the α‐coeffcient is no longer constant but may vary with the radial coordinate. In particular, the results for the original model are re‐derived. Possible applications of this integral equation approach for numerical simulations of dynamos in arbitrary geometry and for an “inverse dynamo theory” are sketched.