Steady dynamos in finite domains: an integral equation approach
نویسندگان
چکیده
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-coefficient 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.
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