CONSTRUCTION OF STEADY-STATE HYDROMAGNETIC DYNAMOS. II. THE SPHERICAL CONDUCTOR,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 30, 1967
- Accession Number
- AD0653603
Entities
People
- Stephen Childress
Organizations
- New York University