On some properties of force-free magnetic fields in infinite regions of space

Details On some properties of force-free magnetic fields in infinite regions of space On some properties of force-free magnetic fields in infinite regions of space

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...283..349a&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 283, Aug. 1, 1984, p. 349-362. Research supported by the Centre National de

Astronomy and Astrophysics

Astrophysics

265

Force-Free Magnetic Fields, Magnetohydrodynamics, Solar Magnetic Field, Stellar Magnetic Fields, Boundary Value Problems, Half Spaces, Solar Flares, Stellar Models

Scientific paper

Techniques for solving boundary value problems (BVP) for a force free magnetic field (FFF) in infinite space are presented. A priori inequalities are defined which must be satisfied by the force-free equations. It is shown that upper bounds may be calculated for the magnetic energy of the region provided the value of the magnetic normal component at the boundary of the region can be shown to decay sufficiently fast at infinity. The results are employed to prove a nonexistence theorem for the BVP for the FFF in the spatial region. The implications of the theory for modeling the origins of solar flares are discussed.

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