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Hydromagnetic conditions near the core-mantle boundaryThe main results of the grant were (1) finishing the manuscript of a proof of completeness of the Poincare modes in an incompressible nonviscous fluid corotating with a rigid ellipsoidal boundary, (2) partial completion of a manuscript describing a definition of helicity that resolved questions in the literature about calculating the helicities of vector fields with complicated topologies, and (3) the beginning of a reexamination of the inverse problem of inferring properties of the geomagnetic field B just outside the core-mantle boundary (CMB) from measurements of elements of B at and above the earth's surface. This last work has led to a simple general formalism for linear and nonlinear inverse problems that appears to include all the inversion schemes so far considered for the uniqueness problem in geomagnetic inversion. The technique suggests some new methods for error estimation that form part of this report.
Document ID
19960009405
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Backus, George E. (California Univ. San Diego, CA, United States)
Date Acquired
September 6, 2013
Publication Date
April 30, 1995
Subject Category
Geophysics
Report/Patent Number
NASA-CR-199296
NAS 1.26:199296
Accession Number
96N16571
Funding Number(s)
CONTRACT_GRANT: NAGW-2967
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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