Accession Number : AD0653603

Title :   CONSTRUCTION OF STEADY-STATE HYDROMAGNETIC DYNAMOS. II. THE SPHERICAL CONDUCTOR,

Corporate Author : NEW YORK UNIV N Y MAGNETO-FLUID DYNAMICS DIV

Personal Author(s) : Childress,Stephen

Report Date : 30 MAR 1967

Pagination or Media Count : 54

Abstract : 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 = 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