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CONSTRUCTION OF STEADY-STATE HYDROMAGNETIC DYNAMOS. II. THE SPHERICAL CONDUCTOR,
NEW YORK UNIV N Y MAGNETO-FLUID DYNAMICS DIV
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The steady-state kinematic dynamo problem in a homogeneous sphere with concentric spherical fluid core is considered. The existence of a class of solenoidal dynamos satisfying a no-slip condition on the core boundary is proved by perturbing the discrete spectrum of a simpler self-adjoint comparison problem. The dynamos are of the form q q1 q2 q3 where q1 is spatially periodic, q2 is zero except in a neighborhood of the boundary of the core, and q3 is an arbitrary sufficiently small motion. Author
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