Other
Scientific paper
Jul 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apj...199..237l&link_type=abstract
Astrophysical Journal, vol. 199, July 1, 1975, pt. 1, p. 237-246.
Other
39
Astronomical Models, Force-Free Magnetic Fields, Magnetic Field Configurations, Magnetohydrodynamics, Photosphere, Solar Magnetic Field, Current Density, Elliptic Differential Equations, H Alpha Line, Mathematical Models
Scientific paper
A mathematical model is developed to consider the evolution of force-free magnetic fields in relation to the displacements of their foot-points. For a magnetic field depending on only two Cartesian coordinates and time, the problem reduces to solving a nonlinear elliptic partial differential equation. As illustration of the physical process, two specific examples of evolving force-free magnetic fields are examined in detail, one evolving with rising and the other with descending field lines. It is shown that these two contrasting behaviors of the field lines correspond to sheared motions of their foot-points of quite different characters. The physical implications of these two examples of evolving force-free magnetic fields are discussed.
Chye Low Boon
Nakagawa Yasuhiro
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