
Accession Number : AD0653603
Title : CONSTRUCTION OF STEADYSTATE HYDROMAGNETIC DYNAMOS. II. THE SPHERICAL CONDUCTOR,
Corporate Author : NEW YORK UNIV N Y MAGNETOFLUID DYNAMICS DIV
Personal Author(s) : Childress,Stephen
Report Date : 30 MAR 1967
Pagination or Media Count : 54
Abstract : The steadystate kinematic dynamo problem in a homogeneous sphere with concentric spherical fluid core is considered. The existence of a class of solenoidal dynamos satisfying a noslip condition on the core boundary is proved by perturbing the discrete spectrum of a simpler selfadjoint comparison problem. The dynamos are of the form q = q(1) + q(2) + q(3) where q(1) is spatially periodic, q(2) is zero except in a neighborhood of the boundary of the core, and q(3) is an arbitrary sufficiently small motion. (Author)
Descriptors : (*MAGNETOHYDRODYNAMICS, MATHEMATICAL MODELS), ELECTROMAGNETIC FIELDS, VECTOR SPACES, INDUCTANCE, BANACH SPACE, PERTURBATION THEORY, FLUID FLOW, THEOREMS
Subject Categories : Electric Power Production and Distribution
Theoretical Mathematics
Plasma Physics and Magnetohydrodynamics
Distribution Statement : APPROVED FOR PUBLIC RELEASE