GLOBAL MAGNETOFLUIDOSTATIC FIELDS (AN UNSOLVED PDE PROBLEM)
A satisfactory theory of the Global MagnetoFluidoStatic (FMFS) Fields, where symmetric and non-symmetric configurations can be dealt with on the same footing, has not yet been developed. However the formulation of the Nowhere-Force-Free, Local-Global MFS problem about a given smooth isobaric toroidal surface w-o (actually, a degenerate initial-value problem) can be weakened so as to include certain generalized solutions as formal power series in a "natural" transverse coordinate. It is reasonable to conjecture that these series converge, for sufficiently smooth data on w-o, in the same function space which their coefficients belong to (in essence, a complete linear space over the 2-torus).
Bibliographic Reference: INTERNAT. J. MATH. $:20 MATH. SCI., VOL. 9 (1986), NO. 1, PP. 123-130
Record Number: 1989124138100 / Last updated on: 1987-01-01
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