Global magnetofluidostatic fields (an unsolved PDE problem)

C. Lo Surdo

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-8

Abstract:

A satisfactory theory of the Global MagnetoFluidoStatic (GMFS) 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 𝒮 0 (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. lt is reasonable to conjecture that these series converge, for sufficiently smooth data on 𝒮 0 . in the same function space which their coefficients belong to (in essence, a complete linear space over the 2 -torus).

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:402098

DOI: 10.1155/S0161171286000157

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