Accession Number:

AD0653603

Title:

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

Descriptive Note:

Corporate Author:

NEW YORK UNIV N Y MAGNETO-FLUID DYNAMICS DIV

Personal Author(s):

• Childress,Stephen

Report Date:

1967-03-30

Pagination or Media Count:

54.0

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 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

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